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Chapter 5: Q 8. (page 267)

If f-1denotes the inverse of a function f, then the graphs of f andf-1 are symmetric with respect to the line鈥�鈥�

Short Answer

Expert verified

Iff-1denotes the inverse of a functionf, then the graph offandf-1are symmetric with respect to the liney=x.

Step by step solution

01

Step 1. Definition

The inverse function is a function obtained by reversing the given function. The domain and range of the given function are changed as the range and domain .

02

Step 2. Explanation

If a,bis a point on the graph of a function fthen b,ais a point on the graph of its inverse.

Furthermore, the two graphs will be symmetric about the line y=xhave symmetry when graphed on the same set of axes.

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