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Graphical Interpretation of the Inverse of a Function

This article explores the graphical interpretation of inverse functions, illustrating key concepts and examples. A function f is invertible if, and only if, it is both one-to-one and onto. We specifically examine the sine function, f(x) = sin(x), through graphical representation to understand its inverse. By visualizing the function and its inverse, we can better grasp the relationship between them, reinforcing the significance of these properties in determining the invertibility of functions.

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Graphical Interpretation of the Inverse of a Function

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  1. Inverse of a function

  2. Example

  3. Graphical interpretation of Inverse of a function

  4. Illustration

  5. Result: A function f is invertible if and only if f is one-one and onto.

  6. f(x) = sinx

  7. f(x)= sin(x)

  8. Graphical Representation

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