Question

Help me find the inverse function!!! It is 2 am and I need to sleep!!!

Answer 1

\[f(x) = \left| x \right| - 4\]

Answer 2

Since |x| is NOT one-to-one, it does NOT have an inverse function.

However, you can restrict the domain to create an inverse

do they provide the restriction?

Answer 3

Can you write the equation even though it's not a function?

Answer 4

do they say something like "x > 0" or "x < 0" ?

Answer 5

The inverse relation would be given by
\(y=|x|+4\iff y-4=|x| \iff x=4-y \) or \(x=y-4\)

Answer 6

But as Jim said, its not a function