Answer:
We conclude that:
(f - g) (x) = |7x| + 86
Hence, option D is correct.
Step-by-step explanation:
Given
f(x) = 8|x| + 27
g(x) = 59 - |x|
To determine
(f - g)(x)
Using the formula
(f - g) (x) = f(x) - g(x)
substituting f(x) = 8|x| + 27 and g(x) = 59 - |x| in the formula
= 8|x| + 27 + 59 - |x|
Group like terms
= 8|x| - |x| + 27 + 59
= |7x| + 27 + 59 ∵ 8|x| - |x| = 7x
= |7x| + 86 ∵ 27 + 59 = 86
Therefore, we conclude that:
(f - g) (x) = |7x| + 86
Hence, option D is correct.
