Question

For f(x) = 3x + 1 and g(x) = x^2 - 6, find (f-g) (x)

A. 3x^2 - 17
B. -x^2 + 3x + 7
C. x^2 - 3x - 7
D. -x^2 + 3x - 5

Answer 1

B. -x^2 + 3x + 7

Explanation:

(f -g)(x) = f(x) -g(x) = (3x +1) - (x^2 -6) . . . . substitute the functions

= 3x +1 -x^2 +6 . . . . . . . eliminate parentheses; next, collect terms

= -x^2 +3x +7 . . . . . matches choice B