Which function is the inverse of f(x)=x-16 if the domain is f(x)>0?

Answer:Inverse of [tex]f(x)=x^2-16[/tex] is [tex]f^{-1}(x)=\sqrt{x+16}[/tex]Option A is correct option.Step-by-step explanation:We need to find inverse of [tex]f(x)=x^2-16[/tex]For finding inverse replace f(x) with y[tex]y=x^2-16[/tex]Now, solve for xAdding 16 on both sides[tex]y+16=x^2-16+16\\y+16=x^2\\=> x^2=y+16[/tex]Taking square root on both sides:[tex]x^2=y+16\\\sqrt{x^2} =\sqrt{y+16} \\x=\sqrt{y+16}[/tex]Now replace x with f^{-1}(x) and y with x[tex]f^{-1}(x)=\sqrt{x+16}[/tex]So, inverse of [tex]f(x)=x^2-16[/tex] is [tex]f^{-1}(x)=\sqrt{x+16}[/tex]Option A is correct option.

Mathematics High School

Which function is the inverse of f(x)=x²-16 if the domain is f(x)>0?

Which Function Is The Inverse Of F(x)=x-16 If The Domain Is F(x)>0?

Answers

Answer 1

Answer:

[tex]f^{-1}(x)=\sqrt{x+16}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-16[/tex]

The inverse of the function [tex]f[/tex] is [tex]f^{-1}[/tex]

The Range of the inverse function [tex]f[/tex] will be the Domain of the function [tex]f[/tex]

[tex]Ran(f^{-1}) = [0, \infty)[/tex]

The inverse of

[tex]f(x)=x^2-16[/tex]

[tex]f^{-1}(x)=\sqrt{x+16}[/tex]

Note that if the domain of the function [tex]f[/tex] where all the Real numbers, the inverse would be

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Answer 2

Answer:

Inverse of [tex]f(x)=x^2-16[/tex] is [tex]f^{-1}(x)=\sqrt{x+16}[/tex]

Option A is correct option.

Step-by-step explanation:

We need to find inverse of [tex]f(x)=x^2-16[/tex]

For finding inverse replace f(x) with y

[tex]y=x^2-16[/tex]

Now, solve for x

Adding 16 on both sides

[tex]y+16=x^2-16+16\\y+16=x^2\\=> x^2=y+16[/tex]

Taking square root on both sides:

[tex]x^2=y+16\\\sqrt{x^2} =\sqrt{y+16} \\x=\sqrt{y+16}[/tex]

Now replace x with f^{-1}(x) and y with x

[tex]f^{-1}(x)=\sqrt{x+16}[/tex]

So, inverse of [tex]f(x)=x^2-16[/tex] is [tex]f^{-1}(x)=\sqrt{x+16}[/tex]

Option A is correct option.

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A rectangular solid has width w, a length of 7 more than the width, and a height that is equivalent to 15 decreased by 3 times the width. Express the volume in terms of the width, w. Then find the maximum volume to the nearest whole number cubic unit and explain how you solved the problem

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Answer:

5 apple magically appeared in his hands CLONED APPEARED BOUGHT FLEW INTO HIS HANDS.

Step-by-step explanation:

Which of the following lists the lower quartile, median, and upper quartile (in that order)?
OA.
92, 78, 67
OB.
55, 78, 100
Ос.
67, 78, 92
OD
67, 78, 100

Answers

Answer:

67, 78, 92

Step-by-step explanation:

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Answers

Answer:

-4

Step-by-step explanation:

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Nicole, Justin, and Shen have a total of $85 in their wallets. Shen has 2 times what Justin has. Nicole has $9 more than Justin. How much does each have?

Answers

Answer:Nicole has $94, shen has $170 and justuin has $85

Step-by-step explanation:

85+9=94 85 times 2= 170

Answer:

Step-by-step explanation:

Justin has 19

Nicole has 28

Shen has 38

Question 2 50 pts A custodian plans to repaint some classroom bookcases. She has 5 1 4 gallons of paint. All of the bookcases are the same size and each requires 3 4 gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?

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Answer:

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not shy not me

A-alternate interior angles
B-same side interior angles
C-corresponding angles
D-alternate exterior angles

Answers

Answer:

alternate interior angles

Step-by-step explanation:

They are on opposite sides of the line and they are equal to each other

The answer is the letter A

30 POINTS!!! Which choice is equivalent to the fraction below when x is greater than or equal to 3?

Answers

Answer: C.

[tex]\frac{9}{\sqrt{x} -\sqrt{x-3} }=\frac{9(\sqrt{x} +\sqrt{x-3} )}{x-(x-3)}=\frac{9(\sqrt{x} +\sqrt{x-3} )}{3}=3(\sqrt{x} +\sqrt{x-3})[/tex]

Step-by-step explanation:

The given fraction is equivalent to [tex]3(\sqrt{x}+\sqrt{x-3})[/tex]. Then the correct answer is option C.

What is rationalization?

The elimination of radicals from an algebraic fraction's denominator is known as root rationalization in elementary algebra.

Rationalizing the given expression to get the solution.

[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9}{\sqrt{x}-\sqrt{x-3}}\times \dfrac{\sqrt{x}+\sqrt{x-3}}{\sqrt{x}+\sqrt{x-3}}[/tex]

[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9(\sqrt{x}-\sqrt{x-3})}{(\sqrt{x})^2-(\sqrt{x-3})^2}[/tex]

[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9(\sqrt{x}-\sqrt{x-3})}{({x})-({x-3})}[/tex]

[tex]\dfrac{9}{\sqrt{x}-\sqrt{x-3}}=\dfrac{9(\sqrt{x}-\sqrt{x-3})}{3}={3(\sqrt{x}-\sqrt{x-3}[/tex]

Hence, the correct answer is option C.

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6 of 6
© Caroline, Colin & Sarah share some money.
Caroline gets of the money
Colin and Sarah share the rest in the ratio 3:1.
What proportion does Sarah get?
7
8
9
q
W
e
r
t
у
u
í
0
4
5
6
a
S
d
f
g
h

Answers

Answer:

Step-by-step explanation:

The proportion of the money that Sarah gets is 2/3 of the total amount

How to determine Sarah's proportion?

From the complete question, the fraction of the money is:

Caroline = 1/9

The remaining amount is calculated using:

Remaining = 1 - 1/9

Evaluate

Remaining = 8/9

Colin and Sarah's share is:

Colin : Sarah = 1 : 3

This means that Sarah's share is:

Sarah = 3/(3 + 1) * 8/9

This gives

Sarah = 3/4 * 8/9

Evaluate

Sarah = 2/3

Hence, the proportion gotten by Sarah is 2/3

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Find the value of x in the model.
Key

x = 2
x = -2
x = 4
x = -4

Answers

Answer:

I believe that corect answer is x=2

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

substituting the values given

lhs = rhs

-x^3 = 2x^2

x = -2

A woman bought some large frames for $14 each and some small frames for $5 each at a closeout sale. If she bought 24 frames for $165, find how many of each type she bought

Answers

She bought 5 large ones and 19 small ones!

Because 5*14 = 70 and 5*19=95 and I’d you add them together it equals 165

What is the constant of variation in the equation y=3/4x?

Answers

Answer:the answer is 34

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combine 34 and x . Since the equation can be written in the form y=kx y = k x , y varies directly with x and k . The constant of variation, k , is 34

2/3 = 12/x

O x=18
O x = 12
O x=36
O x=8

Answers

the answer is x=18 since you multiply 12x3 and get 36 and divide that by 2 and get 18

I did not understand so I wanted to see if I could get help

Answers

the first one is 38
second 71
third 128
fourth 161
i’m pretty sure

1)38° 2)71° 3)128° 4)161°

Solve the system of equations step by step also you can use any method to solve this I just need help

X+2y=2 and -x+y=-5

Answers

Answer:

Solution :

{x,y} = {2/3,2/3}

Step-by-step explanation:

Solve equation [2] for the variable x

[2] 9x = 6

[2] x = 2/3

// Plug this in for variable x in equation [1]

[1] (2/3) + 2y = 2

[1] 2y = 4/3

[1] 6y = 4

// Solve equation [1] for the variable y

[1] 6y = 4

[1] y = 2/3

// By now we know this much :

x = 2/3

y = 2/3

(I dunno if this is what you meant or not..)

Answer: x = 4

y = -1

Step-by-step explanation:

Elimination Method:

In an elimination problem, both equations are aranged in the form of an arithmetic problem. One equation must have an offset of either the x or y of the other equation, so as to eliminate the variable for you to solve for the other one. If a variable doesn't have a negative counterpart, multiply the equation by a number so they can offset each other.

Given:

x + 2y = 2

-x + y = -5

Step 1: Solve for x

To solve for x, we need to eliminate the y by creating an equation where the y can eliminate the other equations y.

-2(-x + y = 5) = 2x - 2y = 10

Now that the y's can cancel each other out, we can combine the equations and solve for x.

x + 2y = 2

2x - 2y = 10

3x = 12

x = 12/3

x = 4

This is the value of x

Step 2: Solve for y

The x's can already cancel each other out, so you can just combine the equations and solve for y.

x + 2y = 2

-x + y = -5

3y = -3

y = -1

This is the value of y

Step 3: Verify

To make sure there weren't any mistakes, you need to check by replacing x and y with they're values. x is 4 and y is -1

Substitute: (4) + 2(-1) = 2

Solve: 4 - 2 = 2

Substitute: -(4) + (-1) = -5

Solve: -4 - 1 = -5

The answers are x = 4 and y = -1

Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference of the two grades is 16. The sum of one-eighth of the higher grade and one-half of the lower grade is 52. The system that represents his scores is below. x – y = 16 StartFraction 1 over 8 EndFraction x plus StartFraction one-half EndFraction y equals 52.x + StartFraction one-half EndFraction x plus StartFraction one-half EndFraction y equals 18.y = 52 What is the higher grade of Jose’s two tests? 48 52 80 96

Answers

Answer:

D: 96

Step-by-step explanation:

I got it right on edge 2020

Answer:

Step-by-step explanation:

450 centimeters is equal to how many meters?

Answers

Answer: 4.5 meters

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation: 1 cm=0.01 meters

What is the estimated sum of 10 1/15 + 2 3/37?

I REALLY NEED THIS ANSWERED!

I will give brainliest if you would like! :)

Answers

10 1/15 + 2 3/37
12 82/555

Answer

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Answer:

help with what?

Step-by-step explanation:

answer: 58°
Explanation:

What type of triangle has an exterior angle that is obtuse at to vertices?

Answers

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Example : Find the values of x and y in the following triangle. y + 92° = 180° (interior angle + adjacent exterior angle = 180°.)

Three less than four times a number is 17. Which equation could be used to find the number ?
A. 4x - 3 = 17
B. 3 - 4x = 17
C. 4(x - 3) = 17
D. -3(4x) =17

Answers

Answer:

cupcakes to balls

Step-by-step explanation:

The equation which describes the statement Three less than four times a number is 17 is 4x-3 = 17

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, it is given that Three less than four times a number is 17.

Let assume the number be x ,

then 4 times the number will be = 4x

and, 3 less then the number means = 4x-3

which is equals to 17 that is :

4x-3 = 17

Therefore, the equation which describes the statement Three less than four times a number is 17 is 4x-3 = 17

Answers

the answer is 56 degrees

guys pls helpppppp me I need help

Answers

Answer:what grade is this?

Step-by-step explanation:

N is the set of integers that are greater than - 3 and less than 2.

Answers

the given set is {-1,0,1,2,3,4,5}
(notice the -2 and 6 are excluded)

the subset which contain positive factors of 5 is {1,5}

so the complement set would be
{-1,0,2,3,4) which matches with b)

The function {(1, 4), (2, 5), (3, 6)} has the function rule y = 3 x + 1.

True or False?

Answers

9514 1404 393

Answer:

false

Step-by-step explanation:

Try the second point:

5 = 3(2) +1 . . . . false

What is the slope of the line that passes through the given points?
(2,9) and (1,6)

Answers

Answer:

M = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

it rose 3 and ran 1

3/1=3

Lisa and Alma raced up and down the stairs many times.
Here is the table showing the results.
Which trip was the lowest for Lisa?
A.4
C.-8
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Answers

Answer:

Step-by-step explanation:

Please solve question 1 and show how you got your answer.

Answers

Answer:

add it my guy it's not that hard

Answer:

x = 1, y = 6

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

y = 6 → (2)

Since we are given the value of y, that is y = 6 then substituting into (1) gives

6 = x + 5 ( subtract 5 from both sides )

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Subtract 1.5×10⁷ from 2.7×10⁹
A) 2.685×10⁷
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D)2.685×10⁹

Answers

This is the answer!!!!!!

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Which function is the inverse of f(x)=x²-16 if the domain is f(x)>0?​

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Which function is the inverse of f(x)=x²-16 if the domain is f(x)>0?