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Chapter 8: Q50. (page 416)

Determine whether the functions f(x)=x-2andf(x)=x-2 are inverse functions. (Lesson 7-8)

Short Answer

Expert verified

f(x)=x-2and g(x)=2xare not inverse functions.

Step by step solution

01

Step 1. Given

The given functions are f(x)=x-2and g(x)=2x.

02

Step 2.To determine

We have to find whether the functions \[f(x)=x-2\]and\[g(x)=2x\]are inverse

functions.

03

Step 3.Calculation

For inverse functions we must have: fgx=xand gfx=x.

fgx=f2x=2x鈭�2鈮�x

It meansf(x)=x-2 and g(x)=2xare not inverse functions.

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