Composition of Inverses

Algebra Level 3

Consider the function ff defined for all real numbers: f(x)={x+a if x<83x1 if x8.f(x)= \begin{cases} x+a & \text{ if } x<8 \\ 3x-1 & \text{ if } x\geq 8. \end{cases} If it has an inverse function that is also defined for all real numbers, what is the value of (f1f1)(65)?(f^{-1}\circ f^{-1})(65)?


Details and assumptions

aa is a constant.

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