8.(a) Let f : R -->R be defined by f (x) = x² . Explain why the inverse of f is not a function.

(b) Let R^* = {t the element in R such that t i greater or equal to 0}Define g : R^* --> R^* by g(x) = x ² . Explain why this squaring function (with a restricted domain and codomain) is a bijection.

(c) Explain how to define the square root function as the inverse of the function in Exercise (8b).

(d) True or false: (square root of x)² = x for all x the element in R such that x is greater or equal to 0.

(e) True or false: square root of x²= x for all x element in R.