Skip to main content
Library homepage
 

Text Color

Text Size

 

Margin Size

 

Font Type

Enable Dyslexic Font
Mathematics LibreTexts

5.2.1: Inverse Functions (Exercises)

( \newcommand{\kernel}{\mathrm{null}\,}\)

For the following exercises, find f1(x) for each function.

69. f(x)=9+10x
70. f(x)=xx+2

For the following exercise, find a domain on which the function f is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse of f restricted to that domain.

  1. f(x)=x2+1
  2. Given f(x)=x35 and g(x)=3x+5 :
    1. Find f(g(x)) and g(f(x)).
    2. What does the answer tell us about the relationship between f(x) and g(x) ?

For the following exercises, use a graphing utility to determine whether each function is one-to-one.

73. f(x)=1x
74. f(x)=3x2+x

Practice with function notation:


75. If f(5)=2, find f1(2).
76. If f(1)=4, find f1(4).


This page titled 5.2.1: Inverse Functions (Exercises) is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.

Support Center

How can we help?