Originally Posted by

**Superman-Prime** Hello,

I'm having trouble understanding this question related to absolute value function. I have all the answers, I just don't know how to calculate them.

Q: A function g is defined by g:x |-> |2x-3| - 4 , for -2≤x≤k.

i) State the largest value of *k* for which g has an inverse.

ii) Given that g has an inverse, express g in the form *g:x |-> ax+b* , where *a* and *b* are constants.

Answers:

i) k=1.5

ii) -2x-1

Could someone please explain it to me how to do it? Thanks in advance.