Answer
$h(x)=|x|-|x-4|$ has no inverse function.
Work Step by Step
The horizontal lines $y=4$ and $y=-4$ intersect $h(x)$ at an infinite number of points.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.