Problem 70 of 7
Determine whether f(x)=|x| has an inverse function on the stated domain all real numbers.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
use one-to-one/horizontal-line test.
Hidden until you reveal it.
Domain must be specified when nonlinear functions are involved.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Apply the horizontal-line test or one-to-one reasoning.
2. Account for the stated domain restriction.
3. State whether an inverse function exists.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Saying every function has an inverse function without checking one-to-one.