Question

If given f(x) = x + 4 and g(x) = –2x2 + 3x – 1, what is (f – g)(x)?
A.

(f – g)(x) = –2x2 + 4x – 3
B.

(f – g)(x) = –2x2 – 2x + 5
C.

(f – g)(x) = 2x2 + 2x + 5
D.

(f – g)(x) = 2x2 – 2x + 5

Answer 1

f(x)-g(x)

Answer 2

@whpalmer4

Answer 3

\[(f-g)(x) = f(x) - g(x) = x+4 - (-2x^2+3x-1)\]Carefully expand that. Don't forget that the - sign in front of the parentheses changes the sign of each term of the stuff inside the parentheses!