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Chapter 10: Q. 10.14 (page 999)

Verify that the functions are inverse functions.

f(x)=2x+6

g(x)=x-62

Short Answer

Expert verified

As

g[f(x)]=xf[g(x)]=xthe functions are inverses of each other

Step by step solution

01

Given information

Given the functions

f(x)=2x+6g(x)=x-62

02

Set g[f(x)]=x

Substituting the values, we get

g(2x+6)=2(x-62)+6g(2x+6)=x-6+6g(2x+6)=x

03

Set f[g(x)]=x

Substituting the values, we get

f(x-62)=2(x-62)+6f(x-62)=x-6+6f(x-62)=x

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Most popular questions from this chapter

In the following exercises, find the inverse of each function.

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