Assume that the function $f$ is a one-to-one function.
(a) If $f(7)=7$, find $f^{-1}(7)$.
Your answer is
(b) If $f^{-1}(-6)=-2$, find $f(-2)$.
Your answer is

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Answer

Final Answer: (a) $f^{-1}(7) = \boxed{7}$ (b) $f(-2) = \boxed{-6}$

Steps

Step 1 ：Assume that the function $f$ is a one-to-one function.

Step 2 ：For part (a), since $f(7)=7$, the inverse function $f^{-1}(7)$ will also be 7.

Step 3 ：For part (b), since $f^{-1}(-6)=-2$, the function $f(-2)$ will be -6.

Step 4 ：Final Answer: (a) $f^{-1}(7) = \boxed{7}$ (b) $f(-2) = \boxed{-6}$