Problem 23 of 7
Find the inverse of restricted quadratic f(x)=-2(x+1)^2+6, x>=-1 with domain x>=-1.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
solve for x and choose branch.
Hidden until you reveal it.
Quadratic domain must restrict to one branch so the inverse is a function.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Write y as the quadratic expression.
2. Solve for x using square roots.
3. Choose the branch consistent with the domain and rename x/y for inverse notation.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Plus/minus answers when the domain selects one branch.