Find the inverse of f(x) = -4x - 12

f − 1 ( x ) = − 1 4 x − 3 f^{-1}(x)=-\frac{1}{4}x-3 f − 1 ( x ) = − 4 1 x − 3

f − 1 ( x ) = 4 x − 3 f^{-1}(x)=4x-3 f − 1 ( x ) = 4 x − 3

f − 1 ( x ) = 1 4 x + 3 f^{-1}(x)=\frac{1}{4}x+3 f − 1 ( x ) = 4 1 x + 3

f − 1 ( x ) = − 4 x − 3 f^{-1}(x)=-4x-3 f − 1 ( x ) = − 4 x − 3

Find the inverse of f(x) = 3x +8

f − 1 ( x ) = x − 8 3 f^{-1}(x)=\frac{x-8}{3} f − 1 ( x ) = 3 x − 8

f − 1 ( x ) = 3 ( x − 8 ) f^{-1}(x)=3(x-8) f − 1 ( x ) = 3 ( x − 8 )

f − 1 ( x ) = 8 x − 1 3 f^{-1}(x)=\frac{8x-1}{3} f − 1 ( x ) = 3 8 x − 1

f − 1 ( x ) = x + 8 3 f^{-1}(x)=\frac{x+8}{3} f − 1 ( x ) = 3 x + 8

Which step comes first when solving for the inverse of a function?

write the function in inverse function notation

What is the inverse of the function f(x) = 2x + 4 ?

f − 1 ( x ) = x − 4 2 f^{-1}(x)=\frac{x-4}{2} f − 1 ( x ) = 2 x − 4

f − 1 ( x ) = 4 ( x − 2 ) f^{-1}(x)=4(x-2) f − 1 ( x ) = 4 ( x − 2 )

f − 1 ( x ) = x 2 − 4 f^{-1}(x)=\frac{x}{2}-4 f − 1 ( x ) = 2 x − 4

f − 1 ( x ) = x 4 + 2 f^{-1}(x)=\frac{x}{4}+2 f − 1 ( x ) = 4 x + 2

What does it mean to find the inverse of a function when we are looking at tables?

the x's and y's are divided by 2

the x's and y's are made negative

When finding the inverse of a relation, 1st you replace f(x) with y 2nd switch the x's and y's What do you do next?

find the greatest common factor

Find the inverse of f ( x ) = 1 4 x − 7 f(x)=\frac{1}{4}x-7 f ( x ) = 4 1 x − 7

f − 1 ( x ) = 4 x + 28 f^{-1}(x)=4x+28 f − 1 ( x ) = 4 x + 2 8

f − 1 ( x ) = 4 x + 7 f^{-1}(x)=4x+7 f − 1 ( x ) = 4 x + 7

f − 1 ( x ) = − 4 x + 28 f^{-1}(x)=-4x+28 f − 1 ( x ) = − 4 x + 2 8

f − 1 ( x ) = − 4 x − 7 f^{-1}(x)=-4x-7 f − 1 ( x ) = − 4 x − 7

What is the range of this function?

− 3 ≤ y ≤ 3 -3\le y\le3 − 3 ≤ y ≤ 3

− 3 < x < 3 -3<x<3 − 3 < x < 3

− 3 ≤ x ≤ 3 -3\le x\le3 − 3 ≤ x ≤ 3

− 3 < y < 3 -3<y<3 − 3 < y < 3

Find the inverse of f ( x ) = 3 x + 2 f\left(x\right)=3x+2 f ( x ) = 3 x + 2

f − 1 ( x ) = x − 2 3 f^{-1}\left(x\right)=\frac{x-2}{3} f − 1 ( x ) = 3 x − 2

f − 1 ( x ) = x − 3 2 f^{-1}\left(x\right)=\frac{x-3}{2} f − 1 ( x ) = 2 x − 3

f − 1 ( x ) = 3 x 2 f^{-1}\left(x\right)=\frac{3x}{2} f − 1 ( x ) = 2 3 x

f − 1 ( x ) = 2 + x 3 f^{-1}\left(x\right)=\frac{2+x}{3} f − 1 ( x ) = 3 2 + x

Is the relation a function? Why.

No, because the x-value 11 has two y-values pair with it.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because each x-value has only one y-value paired with it.

Unit 1 Functions & Inverses

Authored by Judith M Alvarado

Mathematics

9th - 12th Grade

CCSS covered

Used 69+ times

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50 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given g(x) = 4x - 7, find g(-9).

g(-9) = 29

g(-9) = -43

g(-9) = 43

g(-9) = -29

Tags

CCSS.HSF.IF.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the Domain?

-10 ≤ y ≤ 6

y ≤ 6

-10 ≤ x ≤ 6

All Real Numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the domain of the graph?

-3 ≤ x ≤ 3

3 ≤ x ≤ -3

-2 ≤ x ≤ 10

-3 ≤ x ≤ 10

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

-10

None of these.

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

11x² - 1

5x⁴ + 6x² - 1

5x² + 6x - 1

5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1C

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which set of values is a function?

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

Tags

CCSS.8.F.A.1

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