01 - Function Inverses 5d3c2i

Kuta Software - Infinite Precalculus

Name___________________________________

Function Inverses

Date________________ Period____

State if the given functions are inverses.

1) g(x) f (x)

x

2) h(n)n f (n) n

x

3) g(n)

4) g(x)x f (x) x n

f (n )

n

Find the inverse of each function. 6) f (x)x

5) h(x) x

8) h(x)x 7) f (x)

9) f (x)

x

x

10) f (x)

-1-

x

Find the inverse of each function. Then graph the function and its inverse. 11) f (x)x 12)

f (x)

x

y y

x x

13) g(x)

14) g(n) n

x

y y

x x

Critical thinking questions: 15) Give an example of a function that doesn't have an inverse.

16) Find the inverse of f (x)x

-2-

Kuta Software - Infinite Precalculus

Name___________________________________

Function Inverses

Date________________ Period____

State if the given functions are inverses.

1) g(x) f (x)

x

2) h(n)n f (n) n

x

No Yes

3) g(n)

4) g(x)x f (x) x n

f (n )

n

Yes

No

Find the inverse of each function. 6) f (x)x

5) h(x) x

h

(x)

f

x

(x)

x

8) h(x)x 7) f (x) f

x

h

x

(x) x

9) f (x)x f

(x)

(x)

10) f (x) x f (x) x x

-1-

Find the inverse of each function. Then graph the function and its inverse. 11) f (x)x f (x)

y

(x )

12)

f (x)

x f (x) x

y

x x

13) g(x)

14) g(n) n

x

g (n) g (x)

y

x

n

y

x x

Critical thinking questions: 15) Give an example of a function that doesn't have an inverse. f (x) x

16) Find the inverse of f (x)x f (x) x for x

Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com

-2-