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Chapter 5: Q 46. (page 269)

In Problem, the graph of a one-to-one function f is given. Draw the graph of the inverse function f-1. For convenience (and as a hint), the graph of y = x is also given.

Short Answer

Expert verified

Function of fis as follows:

Step by step solution

01

Step 1. Given information

Function of fis as follows:

02

Step 2. Graph of f-1

As we know that, the graph of an one-to- one function and its inverse function, remains symmetrical with respect to the line y =x, and if a point (a, b) lies on the graph of the function, then the point (b, a) will lie on the graph of its inverse function.

Here, the points (-2,1),(1,-1)lies on the graph of the function, hence the points (1,-2),(-1,1)will lie on the graph of its inverse function. Considering all these points the inverse function graph will be the graph, presented by the dotted lines.

Graph of f-1is as follows:

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