Find each function $f(x)$ given, (a) find any three ordered pair solutions $(a, b),$ then $(b)$ algebraically compute $f^{-1}(x)$ and (c) verify the ordered pairs $(a, b)$ satisfy $f^{-1}(x)$.
$$f(x)=x^{3}+1$$
Exponential and Logarithmic Functions
One-to-One and Inverse Functions