Compute f^{-1}(7) for f^{-1}(x) = (x + 3)/(x - 2).

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Multiple Choice

Compute f^{-1}(7) for f^{-1}(x) = (x + 3)/(x - 2).

Explanation:
The main idea is evaluating the inverse function at the given input. Take the expression for f^{-1}(x) and substitute x = 7: (7 + 3) / (7 − 2) = 10 / 5 = 2. So f^{-1}(7) equals 2. Note that the denominator excludes x = 2, but 7 is fine, so the result is valid.

The main idea is evaluating the inverse function at the given input. Take the expression for f^{-1}(x) and substitute x = 7: (7 + 3) / (7 − 2) = 10 / 5 = 2. So f^{-1}(7) equals 2. Note that the denominator excludes x = 2, but 7 is fine, so the result is valid.

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