F(x)=sqrt x -4.find the inverse of f(x) and it’s domain

F(x)=sqrt X -4.find The Inverse Of F(x) And Its Domain

Answers

Answer 1

Answer:

B

Step-by-step explanation:

[tex]y = \sqrt{x } - 4 \\ \sqrt{x} = y + 4 \\ x = (y + 4) {}^{2} \\ [/tex]

Domain of inverse = Range of f = x>-4

Hence B

Answer 2

The correct option is B which is f⁻¹(x) = ( x + 4 )² and x ≥ -4.

What is an inverse function?

The inverse function of a function f in mathematics is a function that reverses the operation of f. If and only if f is bijective, the inverse of f is true.

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The given function is f(x) = √x - 4. The inverse function will be calculated as:-

y = √x - 4

√x = y + 4

Squaring on both sides.

x = ( y + 4 )²

Replace x with y.

y = ( x + 4 )²

The range of the function is x ≥ -4.

Therefore, the correct option is B which is f⁻¹(x) = ( x + 4 )² and x ≥ -4.

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Related Questions

Find the greatest common factor of the
following monomials:
30a^4b^4 28a^6b^5

Answers

The answer is 2a^4b^4, hope this helps

Evaluate the function. f(x)=3x^2 −4x Find f(−1)

Answers

Answer:

7

Step-by-step explanation:

evaluate the function means substitute x=-1 and calculate

f(x) = 3x²-4x

f(-1) =f(x=-1) = 3(-1)²-4(-1) =3+4 =7, because (-1)²=1 and -4(-1) =4

Which is equivalent to 2^5?

Answers

Answer:

Are there certain options?

Step-by-step explanation:

2^5 is in other words 2x2x2x2x2

the answer to this is 32

Hope I helped?

Answer:

32

Step-by-step explanation:

If < A and < B are a linear pair, and < A = 68 °, then < B = _____.

Select one:
a. 68 °
b. 112 °
c. 101 °
d. 90 °

Answers

Answer:

Option b, 112°

Step-by-step explanation:

<A+<B=180

or, 68+<B=180

or, <B=112

Answered by GAUTHMATH

[tex]\text{Solve the system of equations:}\\\\\left \{ {{y=3x+5} \atop {y=-4x+7}} \right.\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

(0.286, 5.587)

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

I have graphed the two equations in a program. When graphed, the lines intersect at point (0.286, 5.587). See the graph attached.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

A ball rolls down and the distance traveled by the ball is given by d = 5t + t2/3 feet in t seconds. Find the time when the ball reaches the distance of 18 feet.

Answers

18 balls of steel answer

Select "equivalent" or "not equivalent" to indicate whether the expression above is equivalent or not equivalent to the values or expressions in the last column.

Answers

Answer:

equivalent

Step-by-step explanation:

5. Nicholas bought a map of a city. It uses a scale of 1 inch to 8 miles.
Nicholas's house and school are 1/2 inches apart on the map. How far apart
would his house and school be on the map if the scale was 1 inch to 6 miles?
What’s the answer to this?

Answers

Scale is 1 inch to 6 mile.

So, ½ inch = 6 mile/2 = 3 mile

The expression 2x and x² have the same value for only two values of x. What are these values?​

Answers

Answer:

0 and 2

Step-by-step explanation:

Can somebody help me please?!!

Answers

Answer:

Step-by-step explanation:

Help! This is so hard!

Answers

1.4

2.8

3.7 by 10

*Others do by your self*

Step-by-step explanation:

1. 3×4/3= 4

2.⅖×20=8

3.6/5×7/18=7/15

4.10/7×9/5=18/7= 2 4/7. Mixed Fraction

5.4/15×25/8=5/6

6.6×¾= 9/2= 4 1/2. Mixed Fraction

A boy spent 20% of his money on books and 20% of the remainder on food.If he had $2000 left, how much money did he have at first?

Answers

Answer:

[tex]\$3,125[/tex]

Step-by-step explanation:

Let [tex]s[/tex] represent the amount of money he initially started with.

After he spent 20% on books, he will have [tex]100\%-20\%=80\%[/tex] of his initial money left. We can represent this as [tex]0.8s[/tex].

Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have [tex]100\%-20\%=80\%[/tex] of the remainder of money he had left after he purchased the books. Therefore, he ends up with [tex]0.8(0.8s)=0.64s[/tex] of his money left.

Since we're given that he had $2,000 after all these transactions, we have the following equation:

[tex]0.64s=\$2,000[/tex]

Divide both sides by 0.64 to isolate and solve for [tex]s[/tex]:

[tex]s=\frac{2,000}{0.64}=\boxed{\$3,125}[/tex]

Therefore, the boy had $3,125 to begin with.

Answer:

2800

Step-by-step explanation:

20%+20%=40%

40/100x2000=2800

9/5C + 32 =59

I'm stuck on how to do this .. please help

Answers

Answer:

C= 15

Step-by-step explanation:

[tex] \frac{9}{5} C + 32 = 59 [/tex]

subtracting 32 from both sides

[tex] \frac{9}{5}C = 59 -32 [/tex]

[tex] \frac{9}{5} C = 27[/tex]

Dividing both sides by 9/ 5

[tex]C = 27 \times \frac{5}{9} [/tex]

[tex]C = 3 \times 5[/tex]

[tex]C = 15[/tex]

proportional linear relationships can be represented in how many different forms

Answers

Linear relationships can be represented in several different ways: a graph, an equation, or a list of points. ... We can then graph the line to find the y-intercept, and use the slope and y-intercept to write an equation of the line.

Proportional Linear Relationships can be expressed in the following ways:

a graphan equation, or a list of points.

What is a proportional linear relationship?

From a graphical point of view, a relationship is proportional and linear if the line representing the equation goes via the origin. It is to be noted that a relationship must be linear for it to be proportional and vice versa.

Thus, it is correct to state that Proportional Linear Relationships can be expressed in the following ways:

a graphan equation, or a list of points.

An example of an equation that is proportional and linear is:
y = 6x + 8. Note that this linear equation is proportional because it has a constant component.

Learn more about the proportional linear relationships at;
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Find the value of x. Write it as a decimal.

Answers

Answer:

68.5

Step-by-step explanation:

Arc ABE = 360 - 2x

Arc AE = 2x

half the difference between the two arcs is 43

43 = [tex]\frac{1}{2}[/tex] [360 -2x - (2x)]    

this is boring
this is hard
i hate stuff that relates to pie
its anouyuibng

Answers

ask a question. will try to help and make it

[tex]easy \: as \: \pi[/tex]

These points are linear. Find
the slope.
x1234 5/6
y 0 48 12 16 20

Answers

Answer:

m = 4

Step-by-step explanation:

The slope for the linear points is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have,

y₂ = 4, y₁ = 0, x₂ = 2, x₁ = 1

Putting all the values,

[tex]m=\dfrac{4-0}{2-1}\\\\\implies m=\dfrac{4}{1}\\\\m=4[/tex]

So, the slope of the line is equal to 4.

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
19,10,1,...

Answers

[tex]\displaystyle\bf \underbrace{19}_910{\underbrace{1}_9} \Longrightarrow This\: is \:an \:\:arithmetic\:\: progression[/tex]

Which graph shows the solution to the system of linear inequalities?

x – 4y < 4

y < x + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

Answers

Answer:

its the 2nd

Step-by-step explanation:

The graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.

What is inequality in mathematics?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given are the following inequalities -

x – 4y < 4

y < x + 1

We have the following inequalities -

x – 4y < 4

y < x + 1

Inequality [1]

x - 4y < 4

x - 4 < 4y

4y > x - 4

y > x/4 - 1

Inequality [2]

y < x + 1

Refer to the graph attached. The common region to both inequalities represents the solution.

Therefore, the graph showing common region to both inequalities represents the solution coordinates that satisfy both inequalities.

To solve more questions on inequalities, visit the link below-

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What are the coordinates of points E, F, and GS

A. E (2, 3), F (8,5), G (5,8)
B. E (3, 2), F (8,3), G (5,6)
C. E (3, 2), F (8,4), G (5,7)
D. E (3, 3), F (9, 4), G (6,7)

Answers

Answer:

its a i think

Step-by-step explanation:

The answer will be A

Which function is graphed below?

algebra 2

Answers

Answer:

x=0..............................

It is an exponential decay curve.
The general form of these is y = k.a^x where 0 < a < 1 [negative values for a are much more complicated]
Some key points can be read from the graph - (0, 3) (1, 1) and less accurately (-1, 9) and (2, 1/3)
This points the the equation y = 3(1/3)^x

____ more than 3455 is two hundred seventy -eight thousand five hundred eighty three​

Answers

I think it’s 275,128

Answer:

275,128

Step-by-step explanation:

"___ more than 3455" is the same as saying "___ added to 3455"

So it will look something like this:

___ + 3,455 = 278,583

Then rearrange the equation to use subtraction to solve it:

278,583 - 3,455 = ____

Plug it in the calculator or solve it by hand, and you have your answer!

(To double check, add 3,455 and 275,128, and you get 278,583)

Hope it helps (●'◡'●)

Need help on this!! 10 points!!

Answers

Answer:

Step-by-step explanation:

The change of base formula is

[tex]log_a(b)=\frac{log_{10}b}{log_{10}a}[/tex] so filling in our given:

[tex]log_{13}}(297)=\frac{log_{10}297}{log_{10}13}[/tex] (Note: you do not have to put the base of 10 in the change of base formula because the "normal" base for a log is 10 and that is how your calculator figures it.)

Do this on your calculator to get

[tex]\frac{log297}{log13}=2.2198[/tex] Not sure how many decimal places you needed!

instructions: state what additional information is required in order to know that the triangle in the image below are congruent for the reason given

***I need help before it’s due**

Answers

SSS (side-side-side) requires that all three sides of the potentially congruent triangles be congruent.

Triangle WVU & Triangle UBW are our two triangles.

The middle line, UW and WU are congruent by the reflexive property, so that is not the information we need to prove SSS.

For SSS, we need to know that sides WV and UB are congruent.

Hope this helps!

resolve the factors ( xy+z)^2 (y-xz)^2​

Answers

Answer:

=x4y2z2−2x3y3z+2x3yz3+x2y4−4x2y2z2+x2z4+2xy3z−2xyz3+y2z2

Make me brainliest

Answer:

x2y-x2z-xy2+xz2+y2z-yz2

step by step

step.1

Equation at the end of step 1:(((x2)•(y-z)(+((y2)•(z-x)))+z2•(x-y)

step2

Equation at the end of step2

(((x2)•(yz))+yz•(z-x))+z2•(x-y)

step.3

equation at the end of step 3.

(x2•(y-z)+y2•(z-x))+z2•(x-y)

step4

trying to factor by pulling out:

factoring: x2y-x2z-xy2+xz2+y2z-yz2

thought fully split the expression at hand into groups,each group having two terms:

group1: y2z-yz2

group 2: x2y-x2z

group 3: xz2-yz2

pull out from each groups separately:

group 1:(x-z)•(-y2)

group 2:(y-z)•(x2)

group 3:(x-y)•(z2)

looking for common sub-expressions:

group 1:(x-z)•(-y2)

group 2:(y-z)•(x2)

group 3:( x-y)•(z2)

bad news !! factoring by pulling out fails:

The groups have no common factor and cannot be added up to form a multiplication.

final result:

x2y-x2z-xy2+xz2+y2z-yz2

A normal distribution has \mu = 65 and \sigma = 10. Find the probability that the average score of a group of n = 4 people is between 70 and 75 (both limits included).

Answers

Answer:

The probability that the average score of a group of n = 4 people is between 70 and 75=0.13591

Step-by-step explanation:

We are given that

[tex]\mu=65[/tex]

[tex]\sigma=10[/tex]

n=4

We have to find the probability that the average score of a group of n = 4 people is between 70 and 75.

[tex]P(70<\bar{x}<75)=P(\frac{70-65}{\frac{10}{\sqrt{4}}}<\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}<\frac{75-65}{\frac{10}{\sqrt{4}}})[/tex]

[tex]=P(\frac{5}{5}<Z<\frac{10}{5})[/tex]

[tex]=P(1<Z<2)[/tex]

[tex]=P(Z<2)-P(Z<1)[/tex]

[tex]=0.97725-0.84134[/tex]

[tex]=0.13591[/tex]

Hence,  the probability that the average score of a group of n = 4 people is between 70 and 75=0.13591

In MQN, m a.
Solve for x. Show all work.
b. Find the measure of <1. Show all work.

Answers

Answer:

were is the problem

Step-by-step explanation:

A straight line is drawn through the points A(1,1) and B(5,-2). Calculate the gradient

Answers

Answer:

-3/4

Step-by-step explanation:

The line passes through the two points which are A(1,1) and B(5,-2) . We know that the slope of the line passing through two points is ,

[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies Slope =\dfrac{ -2-1}{5-1}\\\\\implies Slope =\dfrac{-3}{4} \\\\\implies \underline{\underline{ Slope (m) =\dfrac{-3}{4}}}[/tex]

Hence the slope of the line is -3/4 .

Write an inequality representing the total cost of your purchase. a. Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Use the variable you identified in question 1.

Answers

Answer:

$4n

Step-by-step explanation:

The variable identified in question 1 isn't given ;

If the cost per unit of fruit = $4

The total cost of fruit will be :

Cost per fruit * number of fruits

If the number of fruits is denoted by the variable, n

The the total cost of fruit will be :

Cost per fruit, $4 * number of fruits, n

Total cost = $4 * n = $4n

The width of a rectangle is (2x – 7)inches and its width is (x^2 – 5) inches. Find an expression for the perimeter of the rectangle.
a. 2x^3 + 35
b. x^2 - 2x + 2
c. x^2 + 2x – 12
d. 2x^2 + 4x – 24

Answers

Answer:

(2x²+4x-24) in.

Step-by-step explanation:

.

the answer is D you’re welcome
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