4.2.5 Graphs of inverse functions
Chapter 4: Chapter 4 · MATHEMATICS-VOLUME 1 · EN medium
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. . 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 Trigonometric Functions
📖 Class 12 Mathematics English Volume 1 2025 Edition www.tntextbooks.in · Page 140
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. . 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 Trigonometric Functions
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