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

Answer

Expert–verified

Hide Steps

Answer

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

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) $f^{- 1} (7) = 7$ (b) $f (- 2) = - 6$