How to prove functions are inverses

To prove that the function g is the inverse of f, we have to show that this is true for any value of x in the domain of f. That is, the inverse function g

Clarify math problem
How to know if a function has an inverse?

Check if the following pairs of functions are inverses: we can calculate g(b)=f-1(b) and check if the result is a, as we are asked to prove:.

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The inverse function

Learn how to verify that two functions are inverses by composing them. For example, are f(x)=5x-7 and g(x)=x/5+7 inverse functions?

Inverse function

If we want to find the path of a function we have to find the domain of its inverse function. If two functions are inverses their composition is the function