Question

The function ƒ(x) = x2 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an inverse function.

Answer 1

Think it's x/2 = f-1 (x)

Answer 2

A function is one-to-one if every f(x) value corresponds with only one x value of the domain of the function. Therefore, f(x) = x^2 is only one-to-one between 0 and infinity. The inverse of the quadratic function is the square root function. Graphically, the inverse can be obtained reflecting f(x) with respect a line which equation is y = x (see figure attached).