Problem 148 of 7
Correct the inverse-function error in The inverse of f(x) = e^x is f^-1(x) = x^e.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
catch failure to restrict domain, wrong branch, or algebra mistake.
Hidden until you reveal it.
Bad work must contain one inverse algebra, branch, domain, or interpretation error.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify whether the error is reciprocal confusion, branch choice, domain, or coordinate reversal.
2. Apply the correct inverse procedure.
3. State the corrected inverse or inverse point.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Corrections that omit necessary domain restrictions.