Question

g(-5) = -4*|(-5)-1|

if you have the absolute value sign, and you solve for both equations, you should get 24 and -24
is there one number that is correct, or is both the answer??

Answer 1

There is one answer, -24.

While yes, absolute value does indicate both a positive and negative will work, for every x value there will be only one y value associated with it; if there were more, then it would not meet the criteria to be a function.