What are the domain and range of f (x) = log (x minus 1) + 2?

Answers

Answer 1
What are the domain and range of f (x) = log (x minus 1) + 2? It’s -6
Answer 2

[tex]log(x - 1) + 2[/tex]

Domain:The condition of log functions, is to set what's in between the brackets as being strictly greater than 0.

[tex]x - 1 > 0[/tex]

[tex]x > 1[/tex]

Domain:

[tex]1 < x < \infty [/tex]

Range:The range of log functions is all real numbers:

[tex] - \infty < f(x) < \infty [/tex]


Related Questions

What type of reaction present on this equation 2mgl + mn(so) → 2mgso + mnl

Answers

The type of reaction present in the equation(2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄)  is a double displacement reaction.

Balanced chemical reaction

2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄

The reactant of the reaction is on the left side while the product of the reaction is on the right side.

Double displacement (Metathesis)

Double displacement is a kind of reaction in which the two reacting compounds exchange their radicals or ions to form two new compounds. The anions and cations of the two different molecules switch places to form a new compound.

The reaction type is a double displacement reaction because the cations (mg and mn) and anions(so₃²⁻ and l⁻) switch positions.

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for any given year, the cpi is the price of the basket of goods and services in the

Answers

Answer:

a.given year divided by the price of the basket in the base year, then multiplied by 100.

Explanation:

Suppose a​ five-year, bond with annual coupons has a price of and a yield to maturity of . what is the​ bond's coupon​ rate?

Answers

The bond's coupon rate with an annual coupon that has a price of $903.35 and the yield to maturity will be 3.33%.

How to calculate the coupon rate?

It should be noted that the formula for calculating the coupon rate is given as:

= Annual coupon / Face value

From the complete question, the annual coupon is $33.30 and the face value is $1000. Therefore, the coupon rate will be:

= Annual coupon / Face value

= 33.30/1000

= 3.33%

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Which type of climate can be found in the us between the appalachian and rocky mountains?

Answers

Answer:

temperate grasslands

hope this helps

Determine the form of each augmented matrix: 4 11 2 −6 0 −5 8 7 0 0 −2 3 1 0 0 −6 0 1 0 3 0 0 1 3 1 0 3 −6 0 6 0 8 7 0 1 13

Answers

The forms of each of the matrices depicts how the row and column elements of the matrices are arranged

The matrix A is in row echelon formThe matrix B is in reduced row echelon formThe matrix C is is neither in row echelon form nor in reduced row echelon form

How to determine the form of the matrices?

The matrix A is given as:

[tex]\left[\begin{array}{cccc}4&11&2\\0&-5&8\\0&0&-2\end{array}\right]\left[\begin{array}{c}-6&7&3\end{array}\right][/tex]

The elements on the leading diagonals are: 4, -5 and -2

The elements under the leading diagonals are 0, 0 and 0

When the elements under the leading diagonals are 0, then the augmented matrix is row echelon form

The matrix B is given as:

[tex]\left[\begin{array}{cccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\left[\begin{array}{c}-6&3&3\end{array}\right][/tex]

The elements on the leading diagonals are: 1, 1 and 1

All other elements in the matrix are 0's

When the elements on the leading diagonals are 1's, and other elements are 0's, then the augmented matrix is reduced row echelon form

The matrix C is given as:

[tex]\left[\begin{array}{cccc}1&0&3\\0&6&0\\7&0&1\end{array}\right]\left[\begin{array}{c}-6&8&13\end{array}\right][/tex]

The above matrix is neither in row echelon form nor in reduced row echelon form, because it does not satisfies the condition of both forms of matrices

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Answer:

in picture below that I got from edg 23 precalc

Explanation:

given the standard electrode reduction potentials, which reaction will occur spontaneously?

Answers

The chemical reaction that will occur spontaneously is given by this chemical equation: Mg²⁺ + V²⁺ ----> Mg + V.

What is reduction?

Reduction can be defined as a half-reaction through which the number of electrons (oxidation states) that is associated with the atoms of a chemical element are changed i.e reduced or decreased.

Based on the chemical reactions with the standard electrode reduction potentials, the half cell (Cu²⁺) with the higher reduction potential (+0.15) will be reduced while the half cell (V²⁺) with a lower oxidation potential (-1.18) will be oxidized and as such the chemical equation is given by:

                                      Mg²⁺ + V²⁺ ----> Mg + V.

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In order to be allowed to engage in activities to promote and enhance

Answers

In order to be allowed to engage in activities to promote and enhance the sale of an alcoholic beverage on behalf of a brewery or winery, a person must obtain

What is the correct definition of valence electrons?

Answers

Answer: It is a negatively charged particle, located in the outermost shell of an atom, that can be transferred to or shared with another atom. Or for short it just means  Negatively charged particle

Hope thsi helps!

copper atoms and zinc atoms have the same atomic radius, 135 picometers. based on this information, which of the following diagrams best represents an alloy containing only copper and zinc atoms?

Answers

Since copper and zinc atoms have the same atomic radius,  an alloy of copper and Zinc will have the structure shown in option B.

What is an alloy?

An alloy is a combination of two or more metals Alloys are known to have better tensile strength and higher resistence to corrosion.

We are told that both copper atoms and zinc atoms have the same atomic radius, 135 picometers. It then follows that an alloy of copper and Zinc will have the structure shown in option B.

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17.1 understanding polynomial expressions answer key

Answers

The identification of the polynomial expression is as follows:

Binomial, degree 2Trinomial degree 6Monomial, degree 4

What is a polynomial?

A polynomial shows the relation of more than two algebraic terms and the sum of powers of a polynomial in more than one variable. Polynomials are represented in terms of [tex]\mathbf{kx^n}[/tex];

where;

k = any numbern = positive integer.

The degree of a polynomial expressions can be:

MonomialBinomial Trinomial

Let's assume we have the following equation;

6b² - 7x²y - 9x⁴y²+ 3xy35r³s

Their degree of polynomial expression is:

Binomial, degree 2Trinomial degree 6Monomial, degree 4

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What happens when you fire a gun from the perspective of the 3rd law

Answers

Answer:

forces the gun back in the opposite direction

Explanation:

Newton's Third law of Motion describes that when you shoot a gun, the action of the bullet firing out of the gun in one direction forces the gun back in the opposite direction because of the power of the bullet.

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Based on the excerpt, what inferences can be made about the story’s setting? it is located on a farm with many field hands and employees. It is located on a wide, isolated expanse of farmland. It is in a small town where everyone is friendly toward one another. It is in a deserted town in which mysterious events occur

Answers

The inference that can be made from the story setting is "It is located on a wide, isolated expanse of farmland".

What is the setting of the story?

The setting of a story is known to be the exact location where a story was said to have occurred.

Note that the  setting can be anywhere such as home, school, etc. The story setting from the above excerpt is that it is located on a wide, isolated expanse of farmland".

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Answer:

B) It is located on a wide, isolated expanse of farmland

Explanation:

i read the text above

When describing electromagnetic radiation, there is a(n) _____________ relationship between wavelength and frequency and the greater the frequency, the ____________ energy the electromagnetic radiation has

Answers

Answer:

an should be there isn't it

what is the angular speed, in rad/s, of a flywheel turning at 813.0 rpm?

Answers

85. 13 rad/se

813 x 2pi/60

27.1 x pi

85.13 rad/sec

Answer:

85.14 rad/s

Explanation:

Since we know that 1 revolution is equal to 2pi rad:

813(rev)/1(min) x 2pi/1 x 1(min)/60(seconds) = 85.14 rad/s

Which mexican state is a popular tourist destination

Answers

Answer:

Oaxaca

Explanation:

Oaxaca de Juárez is one of the most important destinations in Mexico

Consider the net of a triangular prism where each unit on the coordinate plane represents four feet. If a sheet of plywood measures 4 ft x 8 ft, how many sheets of plywood will a carpenter need to build the prism?

Answers

Answer:

Explanation:

2 sheets of plywood will be needed.

Step-by-step explanation:

See the attached diagram.

Each three square plywood has area 1 units by 3 units = 4 feet by 12 feet = 48 feet square.  {Since each unit on the coordinate plane represents four feet}

Now, the two triangular plywood has area half of a unit square area.

So, two triangular plywood has total area = 1 unit by 1 unit = 4 feet by 4 feet = 16 feet square.

Therefore, the total area of plywood required to make the triangular prism is (48 + 16) = 64 feet square.

Now, if a sheet of plywood measures 4 ft by 8 ft i.e. 32 feet square, then the carpenter will need such sheets of plywood. (Answer)  

A jar contains five black balls and seven white balls. two balls are drawn sequentially, but the first ball is replaced before the second drawn. the probability of drawing two white balls, given that at least one of the balls is white, is 7/17.

Answers

The probability both balls are black, given that the first one is black, is gotten as;  ⁵/₁₂

What is the probability of Selection?

By using the probability of an event formula,

There are 5 black balls out of a total of 12 balls, so the probability of obtaining a black on a single draw is ⁵/₁₂, and the probability of obtaining a white is ⁷/₁₂



Since the balls are drawn with replacement, the two draws are independent events.

Use Multiplication and Union Rules to obtain the following probability:

P(F) = P(B, B) + P(B, W)

P(F) = (⁵/₁₂ * ⁵/₁₂) + (⁵/₁₂ * ⁷/₁₂)

P(F) =  ⁵/₁₂

Thus, the probability both balls are black, given that the first one is black, is  ⁵/₁₂

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Schrank company is trying to decide how many units of merchandise to order each month. company policy is to have 20% of the next month's sales in inventory at the end of each month. projected sales for august, september, and october are 30,000 units, 20,000 units, and 40,000 units, respectively. how many units must be purchased in september?

Answers

Assuming  the company decide how many units of merchandise to order each month. The number of units that mus be purchased in september is 24,000 units.

Number of units

Using this fomula

Number of units=September sales units-Beginning inventory +Desired ending inventory

Hence:

September sales units 20,000

Beginning inventory  (4,000)

(20,000 x 0.20)

Desired ending inventory 8,000

(40,000×0.20)

Number of units 24,000

(20,000-4,000+8,000)

Inconclusion the number of units that mus be purchased in september is 24,000 units.

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Betty baked a batch of blueberry muffins. baking is an example of (2 points)

Answers

A verb? I’m sorry I don’t really understand what you are asking. I hope this was helpful though :)

How many revolutions does the smaller gear complete during a single revolution of the larger gear?

Answers

Answer:

As the small gear rolls along the circumference of the large gear, the shaft of the small gear completes 30/15 = 2 rotations for every 1 rotation of the large gear shaft. This is called a gear reduction of 1:2. I hope this helps.

The number v of computers infected by a computer virus

Answers

The number of hours that the computers will be infected by a computer virus is one hour.

How can computers be infected by viruses?

Viruses are known to be some forms of computer worms or trojans that can be spread through a system in a lot of ways.

Its spread can be through networks, discs, email attachments etc. It is one that gives others access to your computer.

The number v of computers infected by a computer virus is given by V(t) = 100e^(4.666t)

So therefore,  t is the time in hours.

After 1 hour the number of computer infected v(t=1) = 100*e^(4.666*1)

=100*e^4.666

=100*106.271804

=10627.1804

~10627

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Big ideas math: modeling real life grade 6 assessment book answer key

Answers

There are different ways to model real life grade scenario. An example is Numerical Expressions and Factors.

An example is: create a Venn diagram that represents the prime factorizations of 36 and 48.

What is  Big Ideas Math 6 Book about?

They are known to be a form of well organized and lucidly explained  text about mathematics that is aimed towards students. They are made up of tests, quizzes, assessments and others.

The  Venn diagram that represents the prime factorizations of 36 and 48 is in the image attached.

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In the morning the temperature starts out around 50

Answers

By the end of the day it has probably increased.

classify each item as either part of the m2 measure of the money supply or as not part of the money supply.

Answers

The classification of each item as either part of the M2 measure of the money supply or as not part of the money supply is; detailed below

What is the classification of each item?

M2

- $900 billion in checkable deposits

- $2 trillion in savings accounts

- $1.25 trillion in small time deposits

- $900 billion in cash held by the public

- $650 billion in money market accounts

Not in the money supply

- $3trillion in government securities belonging to the Federal Reserve

- $4.5 trillion in credit card debt

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__________ is bordered by two central asian countries. a. the harirud river b. the caspian sea c. the aral sea d. lake balkhash please select the best answer from the choices provided a b c d

Answers

Answer: The Aral sea

Explanation: hope this helps! :)

Overall, the style of the passage is best described as conversational conversational digressive digressive cryptic cryptic lyrical lyrical intellectual

Answers

It should be noted that the Overall style of the passage is best described as intellectual.

What is meant by Intellectual?

Intellectual passage is used in critical thinking as well as research.

Therefore, we can see how the author made the narration and makes use of specific words, and critical thinking which made the work a intellectual one.

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Suppose the microwave’s power is 900w (1watt=1joule/sec). how long would you have to heat the coffee in part a?

Answers

The amount of time that is required for the microwave to heat the coffee is 34.4 seconds.

Given the following data:

Microwave’s power = 900 Watts.Quantity of energy = 30,962 Joules.

How to calculate the time.

In order to determine the amount of time that is required for the microwave to heat the coffee, we would use this formula:

[tex]Energy = power \times time\\\\[/tex]

Making time the subject of formula, we have:

[tex]Time = \frac{Energy}{Power}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Time = \frac{30962}{900}[/tex]

Time = 34.4 seconds.

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This map illustrates the countries occupied by germany. the countries occupied by france. that norway was not under german occupation. that belgium was not under german occupation.

Answers

Answer:

Late answer, but the answer is: A the countries occupied by Germany.

Explanation:

For future people I guess

The United States, Great Britain, the Soviet Union, and France participated in a joint occupation of the German state following Germany's defeat in the Second World War. Thus, option A is correct.

What are factor that led to Germany occupy countries?

In Germany's defeat in World War II, the country was jointly occupied by the continent's four major allies: the United States, Great Britain, the Soviet Union, and France.

The military overthrow of the Soviet Union; the abolition of the alleged Communist menace to Germany; and the seizing of valuable Soviet-controlled land as Lebensraum (German for “Living space”) for long-term German settlement.

During World War II, Germany's air raids posed the toughest challenges to halting its incursions into Europe. For the neighboring European nations, Adolf Hitler's military prowess and fast-moving ground forces made life extremely tough.

Therefore, the countries occupied by Germany.

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Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler in the summer months and warmer in the winter months.

Answers

Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler is False.

What is Specific heat capacity?

This is defined as the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree.

it takes a lot of energy to increase the temperature of water which means it has a high specific heat capacity in this scenario.

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Answer:

False

Explanation:

A construction company is building a new neighborhood hackerrank

Answers

The building of a hacker rank is one that cost a lot of money and as such the minimum cost is  4.

What is the minimum cost?

The minimum cost is the lowest cost that is needed to complete a building.  It depends on:

The cost of each type of house to be built (e.g. cost of a wood house, cost of a brick house, etc.)The number of the type of house to be built e.g. 2 03 3 or even more.

When one is given input such as : [[1,2,3],[1,2,3],[3,3,1]] (the values in column stands for the cost of materials)

The output : 4

So you have to:

Select  material-1 of cost 1 in first house(row)

Select  material-2 of cost 2 in second house(row)

Select   material-3 of cost 1 in third house (row)

total = 1+2+1 -> 4

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