Hello!
To find the value of of g(2) - f(0), we need to substitute "2" into g(x), and "0" into f(x).
This is how it would look after substituting: f(0) = 2(0) - 5 and g(2) = |-3(2) - 1|. Also, since the expression says we are subtracting f(x), the entire equation becomes negative: -f(0) = -(2(0) - 5).
With that, we can solve for the final value.
|-3(2) - 1| + -(2(0) - 5) (multiply)
|-6 - 1| + -(0 - 5) (use the distributive property)
|-6 - 1| + 5 (simplify)
|-7| + 5 (simplify the absolute value of -7)
7 + 5 = 12
Therefore, g(2) - f(0) is equal to 12.