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Chapter 5: Q. 86 (page 270)

A function fhas an inverse function. If the graph of f lies in quadrant II, in which quadrant does the graph of f-1lie?

Short Answer

Expert verified

The graph of f-1lies in the 4thquadrant

Step by step solution

01

Given information

Given the functionfhas an inverse function

02

Checking the reason

The graphs of a function fand its inverse are mirror images (or reflections) of each other about the line y=x.

Hence, if the graph of a function fis in Quadrant II, then the graph of its inverse is its reflection about the line y=x. Note that when a graph in Quadrant II is reflected about the line y=x, the reflection is also in Quadrant IV.

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