Consider \( f : R_+ \rightarrow [ 4, \infty ]\) given by \( f(x)=x^2+4\). Show that f is invertible with the inverse \( (f^{-1}) \) of f given by \( f^{-1}(y)=\sqrt{y-4}\) where \( R_+\) is the set of all non-negative real numbers.

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