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Chapter 5: Q. 82 (page 270)

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

Short Answer

Expert verified

As the graph of the function y=f(x)decreases on the interval(0,5), the graph of its inverse function role="math" localid="1646177037888" y=f-1(x)will be decreasing on the intervalrole="math" localid="1646177008240" (0,5)

Step by step solution

01

Step 1. Given data 

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

02

Step 2. description 

Graph of Function y=f(x)increasing

so y values of the function y=f(x)decrease as x values increases

the inverse function 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 decreases

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

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