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Chapter 10: Q. 368 (page 1062)

In the following exercises, verify that the functions are inverse functions.

f(x)=2x+9andg(x)=x+92

Short Answer

Expert verified

g(x)is not the inverse off(x)

Step by step solution

01

Step 1. Given

The functions are given as f(x)=2x+9andg(x)=x+92

02

Step 2. Calculaion

Let y=f(x),

Find the value of xin terms of y,

y=2x+92x=y-9xy-92

Therefore the inverse isf-1(x)=x-92

03

Step 3. Verification

The inverse of f(x)is not equal to g(x).

Hence g(x)is not the inverse off(x)

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Most popular questions from this chapter

In the following exercises, solve each equation.

e2x路e3=e9

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

f(x)=8x

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

f(x)=9x

On the same coordinate system, graph:

f(x)=3x

g(x)=3x+1

Graph: f(x)=(14)x
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