Use compositions to verify that g and g^-1 are in fact inverses.

g(x): 1/x+2
g^-1(x): 1/x - 2

Answers

Answer 1

Answer:

as written there, they are not inverses

proof by counter example:  since g(1) = 3  , but g^-1(3) = -5/3 != 1

Step-by-step explanation:

g(g^-1(x))  == x    if they are indeed inverses

1/(1/x -2)  + 2  =   x/(1-2x) + 2  != x    so, they are not inverses


Related Questions

Combine the like terms to create an equivalent expression:
\large{-5+(-5r)+10}−5+(−5r)+10

Answers

Answer:

−10r +10

Step-by-step explanation:

Let's simplify step-by-step.

−5−5r+10−5−5r+10

=−5+−5r+10+−5+−5r+10

Combine Like Terms:

=−5+−5r+10+−5+−5r+10

=(−5r+−5r)+(−5+10+−5+10)

=−10r+10

Answer:

−5r+5

Step-by-step explanation:

Which point on the number line represents the product (5) (negative 2) (negative 1)?

A number line going from negative 11 to positive 11. Point A is negative 10, point B is negative 2, point C is 2, point D is 10.
Point A
Point B
Point C
Point D

Answers

Point C

Hope This helps!! : }

The point D represents the product of the three integers.

What is Number Line?

Number line is defined as the straight line drawn horizontally where the integers are placed at an equally spaced way.

Integers includes natural numbers, 0 and negative of the natural numbers.

Given is the three numbers 5, -2 and -1.

We have to find the product of these three numbers.

When multiplying integers, negative multiplied to negative and positive multiplied to positive gives positive. If one of the number is negative and other is positive, then the result is negative.

(5) (-2) (-1) = (5 × -2) (-1)

                = (-10) (-1)

                = 10

Hence the product of the three integers 5, -2 and -1 is 10 which is marked as point D on the number line.

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What is required of a proportional relationship that is not required of a general line relationship?

Answers

Answer:

Step-by-step explanation:

Pertains to y-intercept is then 0.

It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)

Jim bought 2 packs of batteries from a store. The price of each pack was the same. After he bought the batteries, his account balance showed a change of −$23.94. What would have been the change to Jim's account balance had he only bought 1 pack of batteries from the store?

−$21.94
−$11.97
$11.97
$21.94

Answers

Answer: B

Step-by-step explanation: The answer is 11.97 hope this helps

It’s should be B:):)

rodney wants to buy 3.5 pounds of cherries and 2 1/3 pounds of peaches. If rodney wants to use exact change how much money should he take with him to the produce stand?

Answers

Answer:

D 17.43

Step-by-step explanation:

3.5 times 3.63 equals 12.67 and 2 1/3 times 2.04 equals 4.76.  When you add them together you get 17.43.

The exact change Rodney needs to take with him to the produce stand is 17.42 dollars.

What is unitary method?

A unitary method is a mathematical technique for obtaining the value of a single unit and then deriving the required units by multiplying it with the single unit.

The exact change Rodney needs to take with him to the produce stand is the price of 3.5 pounds of cherries which is (3.5×3.62) dollars = 12.67 dollars added to the price of 2.33 pounds of peaches which is (2.33×2.04) dollars = 4.75 dollars.

∴ The total amount is (12.67 + 4.75) dollars.

= 17.42 dollars.

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Which of the following numbers are less than -0.625
choose all that apply
A: - 8/5
B: -5/8
C:-0.5

Answers

C is the answer to the question

Answer:

C

Step-by-step explanation:

C is the answer becuase it is a negative number less than -0.625

Please help me with this! I don't understand it at all!

Answers

hope this helps .. i’m not sure tho

A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?

HELP ASAP!!

Answers

Answer:

i think its −2x+y=−5

Step-by-step explanation:

 -2x +y= -11 is the equation of this line in Standard Form .

What is in slope-intercept form?

Y = mx + b, which defines a line, is an equation's slope-intercept form.When a line is graphed, its slope, m, and its point of intersection with the y-axis, b, also known as the y-intercept, are shown.To find answers for x, y, m, and b, utilize slope intercept form.

m = 2

the point =  (4,-3)

the equation of this line

          y - y₁ = m ( x - x₁)

          y - ( -3 ) = 2 ( x - 4 )

          y + 3 = 2( x - 4 )

           y + 3 = 2x - 8

            y = 2x - 8 - 3

            y = 2x - 11

           -2x +y= -11

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which equation is y=(x+3)^2+(x+4)^2 rewritten in vertex form?

Answers

Answer:

[tex]y-1/2=2(x+7/2)^2[/tex]

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

[tex]y-k=a(x-h)^2[/tex]

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The given function is:

[tex]y=(x+3)^2+(x+4)^2[/tex]

Expanding the squares:

[tex]y=x^2+6x+9+x^2+8x+16[/tex]

Simplifying:

[tex]y=2x^2+14x+25[/tex]

Factoring 2 from the first two terms:

[tex]y=2(x^2+7x)+25[/tex]

The expression in parentheses must be completed to form the square of a binomial:

[tex]y=2(x^2+7x+49/4-49/4)+25[/tex]

Isolating the square of the binomial:

[tex]y=2(x^2+7x+49/4)-49/2+25[/tex]

Operating and Factoring:

[tex]y=2(x+7/2)^2+1/2[/tex]

Rearranging:

[tex]\boxed{y-1/2=2(x+7/2)^2}[/tex]

Comparing with the vertex form:

a=2, h=-7/2, k=1/2

Solve v +8 <3 or 8v <-40.

Answers

[tex]v + 8 < 3[/tex]

Subtract sides -8

[tex]v + 8 - 8 < 3 - 8[/tex]

[tex]v < - 5[/tex]

_________________________________

[tex]8v < - 40[/tex]

Divided sides by 8

[tex] \frac{8}{8}v < \frac{ - 40}{8} \\ [/tex]

[tex]v < - 5[/tex]

_________________________________

Done.... ♥️♥️♥️♥️♥️

The solution of the given inequality v +8 <3 or 8v <-40 is v < -5.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal.

Given the inequality,

v +8 < 3

Adding -8 on both sides

v + 8 - 8 < 3 - 8

v < -5

Or,

8v <-40

Divide 8 on both side

v < -5

Hence "The solution of the given inequality v +8 <3 or 8v <-40 is v < -5".

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Henry's Jewelry Store receives a shipment of 500 jewelry pieces, but 15 pieces are damaged. At this rate, if Henry's Jewelry Store places an order for 5,500 jewelry pieces, how many should they expect to be damaged? They should expect pieces of jewelry to be damaged.

Answers

Answer:

They should expect 165 damaged pieces in 5500 jewelry pieces

Step-by-step explanation:

The first thing we need to do is to get some metrics to measure the rate at which the damaged jewelry is seen.

We can use 15 pieces of jewelry that are damaged for every 500 ordered.

Once this is done, we can then use this to estimate how many pieces of jewelry are damaged if 5,500 are ordered.

We now need to know how many sets of 500 pieces of Jewelry are in 5,500.

This is 5,500/ 500 = 11 sets

Therefore, all 11 sets will have 15 damaged pieces of jewelry each. The total number of damaged jewelry pieces will be 15 X 11 = 165 damaged pieces

Is 9 rational or irrational?

Answers

Answer:

9 is a rational number.

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

How the number 9 is irrational is that irrational numbers are numbers that are not expressed as fractions or decimals. So some examples of irrational numbers is 1,2,6,22,12,9

can I get brainlest?

How much is 3 nines?

Answers

Answer:

to the third power ?

Step-by-step explanation:

Answer:

The answer is 27!

Step-by-step explanation:

9 plus 9 equals 18 plus 9 equals 27!

17x+45.5=11.5x+425 anwser please

Answers

I think the Answer would be 69 have a great day!!

Find the midpoint of a segment with endpoints (-9, 3) and (5, 7).

I need help ASAP pleasee

Answers

Answer:

( -2,5)

Step-by-step explanation:

To find the x coordinates of the midpoint, add the x coordinates of the endpoint and divide by 2

( -9+5)/2 = -4/2 = -2

To find the y coordinates of the midpoint, add the y coordinates of the endpoint and divide by 2

( 3+7)/2 = 10/2 = 5

The midpoint is ( -2,5)

Helppppppppppp please!!!

Answers

Answer:

i is a

Step-by-step explanation:

please help me I'm so confused
Kathy babysits for $7.25 an hour plus $5.75 in transportation cost. Jared babysits for $7.50 an hour plus $3.25 in transportation cost. After how many hours is Jared the more expensive sitter?

Answers

After 11 hours Jared is the most expensive sitter

Explanation: kathys equation = 7.25(11) + 5.75= 85.50$

Jareds equation = 7.50(11) + 3.25= 85.75$


At 11 hours is when Jared exceeds kathy, he is more expensive

Consider the equation 2x+11=3x−3 −8x

Put the letter of the following steps in the correct order.



A. The solution is x = -2.

B. Use the Subtraction Property of Equality to subtract 11 from both sides.

C. Use the Division Property of Equality to divide both sides by 7.

D. Use the Addition Property of Equality to add 5x to both sides.

E. Combine like terms to rewrite the equation as 2x + 11 = -5x - 3



, , , ,

Blank 1:
Blank 2:
Blank 3:
Blank 4:
Blank 5:

Answers

Answer:

E ⇒ D ⇒ B ⇒ C ⇒ AorE ⇒ B ⇒ D ⇒ C ⇒ A

Step-by-step explanation:

GivenEquation 2x + 11 = 3x - 3 - 8xSolution2x + 11 = 3x - 3 - 8x2x + 11 = -5x - 32x + 5x + 11 = -5x + 5x - 37x + 11 = - 37x + 11 - 11 = -3 - 117x = -147x/7 = -14/7x = -2

Correct order of the steps

E. Combine like terms to rewrite the equation as 2x + 11 = -5x - 3 D. Use the Addition Property of Equality to add 5x to both sides. B. Use the Subtraction Property of Equality to subtract 11 from both sides. C. Use the Division Property of Equality to divide both sides by 7. A. The solution is x = -2.

The order D, B is same as B, D

Answer:

salah kamu nilai ku jadi jelek kamu harus bertanggung jawab

I need help asap thanks

Answers

Answer:

B. y=5/4 x-4

Step-by-step explanation:

Slope of line= [tex]\frac{y2-y1}{x2-x1}[/tex]

= [tex]\frac{1-(-4)}{4-0}[/tex]

=5/4

is n^2 x n^2 equal to (n x n) ^2

Answers

It is equal but I did not get a big of an answer but I got this =
n
8
x

Apps Managed bookmarks
Write an expression for the perimeter of the rectangle with a length of 2x and width of x.

Answers

Step-by-step explanation:

2x + 2x + x + x = Perimeter

6x = Perimeter

x = Perimeter ÷ 6

Which numerical expression represents the value (in cents) of 12 dimes?

a. 5 · 12
b. 10 · 12
c. 10 + 12
d. 12 10

Answers

B is the answer since dimes are worth 10 cents
B is the value ( in cents )

what is the formula of perpendicular line​

Answers

Two lines are perpendicular if . Another way of saying this is the slopes of the two lines must be negative reciprocals of each other

A dairy calf raiser orders 25 bags of calf milk replacer for $1,050. How much did each bag cost?

Answers

Answer:

$1,054

Step-by-step explanation:

i dont have explination pls dont remind me

convert 0.00049 to scientific notation.

A) 4.9 • 10^3
B) 4.9 • 10^4
C) 4.9 • 10^-3
D) 4.9 • 10^-4

Answers

Answer:

D

Step-by-step explanation:

Answer:

D)4.9 x 10^-4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

E = hf − w

w = ?
manipulate the equation.

Answers

Answer:

the answer should be w=-E/hf

if it not plz tell me so i can edit  my answer

Step-by-step explanation:

Hope this helps❤️

Answer:

hf-E

Step-by-step explanation:

I took the test

What is the unit rate for the ratio 280 students/8 buses =​

Answers

Answer:

35 children for every 1 bus

Step-by-step explanation: :) i hope i helped

35:8 ( 35 students for each bus)

please help will give brainliest if correct! :)

Answers

1. positive slope
2. undefined
3.zero slope
4. negative slope
hope this helps <3

Find the 7th term of the arithmetic sequence given a12=29 and
a16=53
ara

Answers

Answer:

a7=-1

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences can be identified because each term n is obtained by adding or subtracting a fixed number to the previous term n-1.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

We know: a12=29, a16=53, now we use the above equation for n=12 and n=16:

[tex]a_1+(12-1)r=29[/tex]

[tex]a_1+(16-1)r=53[/tex]

Simplifying both equations:

[tex]a_1+11r=29[/tex]

[tex]a_1+15r=53[/tex]

Subtracting:

[tex]4r=53-29=24[/tex]

Solving:

r=24/4

r=6

The 7th term can be found as 9 terms before the 16th:

[tex]a_7=a_{16}-9r[/tex]

[tex]a_7=53-9*6=53-54=-1[/tex]

Thus: a7=-1

If f(x)=x²+3x-2
find f(-2)

Answers

Answer:

f(- 2) = - 4

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = (- 2)² + 3(- 2) - 2 = 4 - 6 - 2 = - 4

Value of f(-2) is -4

Given that;

f(x) = x²+3x-2

Find;

Value of f(-2)

Computation:

Given that;

f(x) = x²+3x-2

By putting x = -2

f(-2) = (-2)² + 3(-2) - 2

f(-2) = 4 - 6 - 2

f(-2) = 4 - 8

f(-2) = -4

So, -4 is the correct answer to the given equation.

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