Problem 29 of 7
Find the inverse of square-root function f(x)=sqrt(x-3).
Hints
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solve by squaring and state domain/range.
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Square-root function must be one-to-one on its natural domain.
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Solution
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1. Write y as the square-root expression.
2. Isolate the square root.
3. Square both sides and solve for x, then state the inverse restriction.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Squaring before isolating the square-root term.