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