Find a formula for the inverse of the function calculator

Inverse Function Calculator inverts function with respect to a given variable. Inverse function for a function y=f(x) is such function x=g(y) that g(f(x))=x for all values of x where f is defined. An important property of the inverse function is that inverse of the inverse function is the function itself. f -1 is commonly used to represent the inverse function of f. To find the inverse function for f(x) the Inverse Function Calculator solves f(x)=y equation for x. Functions of complex variable are supported.

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Inverse Function Computation Examples
How do you find the formula for the inverse of a function?
What's the inverse function calculator?

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Inverse Function Computation Examples

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How do you find the formula for the inverse of a function?

Finding the Inverse of a Function.

First, replace f(x) with y . ... .

Replace every x with a y and replace every y with an x ..

Solve the equation from Step 2 for y . ... .

Replace y with f−1(x) f − 1 ( x ) . ... .

Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true..

What's the inverse function calculator?

The inverse function calculator finds the inverse of the given function. If f(x) is a given function, then the inverse of the function is calculated by interchanging the variables and expressing x as a function of y i.e. x=f(y) x = f ( y ) .