Problem 26 of 7
Find the inverse of the restricted quadratic function f(x)=-x^2-4x+1 with restriction x<=-2.
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.
Solve for x and choose branch from the domain restriction.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Swap x and y.
2. Solve the quadratic equation for y.
3. Use the original restriction to choose the correct branch.
4. State the inverse domain from the original range.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Including both plus and minus branches for a restricted quadratic.