Problem 174 of 7
Compare the algebraic inverse f^-1(x)=log_3(x-2) with graph features of the original function exponential with horizontal asymptote y=2.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
verify feature correspondence.
Hidden until you reveal it.
Verify feature correspondence between algebraic inverse and graph inverse.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify key features of the original graph.
2. Reflect those features across y=x.
3. Check that the algebraic inverse has the reflected features.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Comparing only formulas without checking graph features.