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Inverse of function of Set
The inverse of a one-to-one corresponding function f: A → B, is the function g: B → A, holding the following property −
f(x) = y ⇔ g(y) = x
The function f is called invertible if its inverse function g exists.
Example
A Function f : Z → Z, f(x)=x+5, is invertible since it has the inverse function g : Z → Z, g(x)= x-5.
A Function f : Z → Z, f(x)=x2 is not invertiable since this is not one-to-one as (-x)2=x2.
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