📖 generic · 12th TN - English Medium · MATHEMATICS-VOLUME 1 · Page 140table

4.2.5 Graphs of inverse functions

Chapter 6: Chapter 4 · MATHEMATICS-VOLUME 1

. . Graphs of inverse functions Assume that f is a bijective function and f - is the inverse of f . Then, y f x ( ) if and only if f − ( ) .

Therefore, ( , ) a b is a point on the graph of f if and only if ( , ) b a is the corresponding point on the graph of f - . This suggests that graph of the inverse function f - is obtained from the graph of f by interchanging x and y axes. In other words, the graph of f - is the mirror image of the graph of f in the line y or equivalently, the graph of f - is the reflection of the graph of f in the line y = . Inverse - - Inverse Trigonometric Functions

Related topics

Have a question about this topic?

Get an AI answer grounded in your actual textbook — with the exact page reference.

Ask AI about this topic →