Free Printable Inverse Functions Retake Prework

1.

G(x) = 4x³ - 1. Find G^-1(x)

a)

S1: Let

y = 4x³- 1

S2: x <=> y

x = 4y³- 1

S3: solve for y

$\left(\frac{x-1}{4}\right)^3$ = y

S4: G(x)^-1 = $\left(\frac{x-1}{4}\right)^3$

b)

S1: Let

y = 4x³- 1

S2: x <=> y

x = 4y³- 1

S3: solve for y

(x³ - 1)/4= y

S4: G(x)^-1 = (x³ - 1)/4

c)

S1: Let

y = 4x³- 1

S2: x <=> y

x = 4y³- 1

S3: solve for y

$\sqrt[3]{\frac{x-1}{4}}$ = y

S4: G(x)^-1 = $\sqrt[3]{\frac{x-1}{4}}$

d)

S1: Let

y = 4x³- 1

S2: x <=> y

x = 4y³- 1

S3: solve for y

4x³ + 1 = y

S4: G(x)^-1 = 4x³ + 1

2.

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

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

3.

If F(x) = x + 11

Which 3 steps will you use to find the inverse F^-1(x)

a)

S1: let F(x) = x + 11

S2: Interchange x <=> y

x = y + 11

S3: Solve for y

11x = y

F(x)^-1 = 11x

b)

S1: let y = x + 11

S2: Interchange x <=> y

y + 11 = x

S3: Solve for y

y = x + 11

F(x)^-1 = x + 11

c)

S1: let y = x + 11

S2: Interchange x <=> y

x = y + 11

S3: Solve for y

x - 11 = y

F(x) = x

d)

S1: let y = x + 11

S2: Solve for x

x = y - 11

S3: Switch x and y

F^-1(x) = x - 11

4.

$f\left(x\right)=\frac{6x}{5}+3$
Find $f^{-1}\left(x\right)$

a)

$\frac{5x-3}{6}$

b)

$\frac{5\left(x-3\right)}{6}$

c)

$\frac{5x}{6}-3$

d)

$\frac{5x}{6}+3$

5.

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

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

6.

Find the inverse of the function
f(x) = 3x − 5

a)

f^-1(x)=3x +5

b)

f^-1(x)=(x+5)/3

c)

f^-1(x)=3y-5

d)

f^-1(x)=3y+5

7.

When finding the inverse of a relation,

1st: replace f(x) with y 2nd: switch the x's and y's

What do you do next?

a)

solve for y

b)

replace y with f^-1(x)

c)

solve for x

d)

find the greatest common factor

8.

Find the inverse of

$f\left(x\right)=\sqrt[]{x-3}$

a)

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

b)

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

c)

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

9.

Find the inverse

$f\left(x\right)=\left(x-3\right)^2\ \left\{x\ge3\right\}$

a)

$f^{-1}\left(x\right)=\sqrt[]{x}+3$

b)

$f^{-1}\left(x\right)=\sqrt[]{x}-3$

c)

$f^{-1}\left(x\right)=3+\sqrt[3]{x}$

d)

$f^{-1}\left(x\right)=\sqrt[3]{x}+3$

Inverse Functions Retake Prework

Total questions: 9

Worksheet time: 31mins

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