Suppose f (x) = 2x-5 and g (x) = |-3x-1|.

Find the following value. G (2) - f (0) =

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.