Sum of Inverses

Algebra Level pending

Suppose that function \(f(x)\) is defined as \[f(x)= \begin{cases} x+3 & \text{ if } x<20, \\ 2x-2 & \text{ if } x\geq 20 . \end{cases} \] What is the value of \[f^{-1}(7)+f^{-1}(46)?\]

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