The value of -f(a) in the absolute value problem is; -f(a) = 15
We are given the absolute value problem;
f(x) = |x - 7| - |x + 8|
When we say absolute value, it means that it must not be negative but the positive absolute value. Thus;
f(a) = |a - 7| - |a + 8|
Since the value inside the absolute value bracket must be positive, then it means that;
f(a) = (a - 7) - (a + 8)
Provided a is not less than 7.
Thus;
-f(a) = -(a - 7 - a - 8)
= -(-15) = 15
Read more about Absolute Value Problems at; https://brainly.com/question/1312347
#SPJ1