i did this question long time ago and i realize today that at back of book answer be different.

Question

write the following absolute value functions as piecewise functions.

g(x) = |x+1|

positive be x+1
negative be -(x+1) but in back of book it says negative one be -x-1 if x is less than -1. and i not understand.

Answer 1

surely you realize that -(x+1) = -x-1

Answer 2

|x+1| = -(x+1) if (x+1) < 0
that is, if x < -1