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Chapter 5: Q. 88 (page 270)

The function f(x)=x4is not one-to-one. Find a suitable restriction on the domain of f so that the new function that results is one-to-one. Then find the inverse of f.

Short Answer

Expert verified

The function and inverse is

f(x)=x4,x鈮�0f-1(x)=x4,x鈮�0

Step by step solution

01

Given information

Given the functionf(x)=x4

02

Calculating the inverse

Calculating, we get

f(x)=x4y=x4x=y4y=x14f-1(x)=x14,x鈮�0

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