Question

If f(x) = 2x - 6 and g(x) = 3x + 9, find (f - g)(x).

A. (f-g)(x) = x + 15
O
O
B. (f- g)(x) = -x - 15
O c. (f- g)(x) = 5x + 3
O D. (f- g)(x) = -x+3
SUBMIT

Answer 1

`\large\boxed{B.\ (f-g)(x)=-x-15}`

Explanation:

`(f-g)(x)=f(x)-g(x)\\\\f(x)=2x-6,\ g(x)=3x+9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x-6)-(3x+9)\\\\=2x-6-3x-9\qquad\text{combine like terms}\\\\=(2x-3x)+(-6-9)\\\\=-x-15`