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Chapter 10: Q. 10.16 (page 1000)

Find the inverse of the function ,f(x)=8x+5

Short Answer

Expert verified

The inverse of f(x)=8x+5is

f-1(x)=x-58

Step by step solution

01

Given information

Given the functionf(x)=8x+5

02

Replace f(x) with yand then x,y

Replacing, we get

f(x)=8x+5y=8x+5x=8y+5x-5=8yx-58=y

03

Substitutef-1(x) for y

Substituting , we get

f-1(x)=x-58

04

Verify f(f-1(x))=x

Substituting the values, we get

f(x-58)=8(x-58)+5f(x-58)=x-5+5f(x-58)=x

So the functions are inverses

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Most popular questions from this chapter

In the following exercises, solve each logarithmic equation.y=log2.5x

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f(x)=x4

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