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
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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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