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Chapter 5: Q. 81 (page 270)

A function y=f(x)is increasing on the interval (0,5).What conclusions can you draw about the graph of y=f-1(x)?

Short Answer

Expert verified

As the graph of the function y=f(x)increases on the interval(0,5), the graph of its inverse function y=f-1(x)will be increasing on the interval(0,5)

Step by step solution

01

Step 1. Given data

Graph of functiony=f(x)increases on interval(0,5)

02

Step 2. description

Graph of Function y=f(x)increasing

so y values of the function are increases as x values increases

the inverse function y=f-1(x) is the interchange of xand y values of the function y=f(x)

so y values of inverse function y=f-1(x) will increase as x value increases

Thus inverse functiony=f-1(x)will also be increased on interval(0,5)

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