Problem 39 of 7
Find the inverse of the square-root function f(x)=-3sqrt(x).
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
solve by squaring and state domain/range.
Hidden until you reveal it.
Solve by isolating the radical, squaring, and stating domain/range.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Write y as the square-root expression.
2. Swap x and y.
3. Isolate the radical term, square both sides, and solve for y.
4. State the inverse domain from the original function's range.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Squaring before isolating the radical when it changes the equation.