01 - Function Inverses worksheets PDF

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Kuta Software - Infinite Precalculus

Name___________________________________

Function Inverses

Date________________ Period____

State if the given functions are inverses. 1) g( x)x f ( x)x

 n  f ( n)   n

3) g( n)

  2) h(n) n    f (n) n 

  x    f (x ) x 

4) g( x)

Find the inverse of each function. 5) h( x)

 x

7) f ( x)

   x

  9) f ( x) x  

  6) f (x ) x  

8) h (x )x

 10) f (x )   x

1

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











 x

         

13) g (x )

14) g(n)n  

x 

y 

y 





















      

     











 x























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

16) Find the inverse of f (x )

2



x

Kuta Software - Infinite Precalculus

Name___________________________________

Function Inverses

Date________________ Period____

State if the given functions are inverses. 1) g( x)x f ( x)x No

  2) h(n) n    f (n) n  Yes

 n  f ( n)   n

3) g( n)

  x    f (x ) x 

4) g( x)

Yes

No

Find the inverse of each function. 5) h( x) h

 x

(x )   



   x

(x)



(x)



(x)   x





8) h(x )x h

   x

  9) f ( x) x   f

f

x

7) f ( x) f

  6) f (x ) x  



(x)  x  

 10) f (x )   x  x 

f

1

(x) 



 x



Find the inverse of each function. Then graph the function and its inverse. 

11) f (x) x f

y

(x) (x)



 12) f (x )   x



y



f



g



( x)



 x

             











 x



 

     













 x

        

13) g (x )

14) g(n)n  

x  g

y



(x)

y

x 



















     











 

















     

(n)  n

 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 ) f

(x) x







x

for x

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