Question

If f(x) = –4x + 3 and g(x) = 3x2 + 2x – 4, find (f + g)(x).

A. (f + g)(x) = –2x – 1
B. (f + g)(x) = 3x2 + 6x + 7
C. (f + g)(x) = 3x2 – 2x – 1
D. (f + g)(x) = 4x – 1

Answer 1

You just need to add the two equations so (-4x+3)+(3x^2 +2x-4)
You end up with c. 3x^2-2x-1

Answer 2

Correct option is:

C. (f + g)(x) = 3x² – 2x – 1

Explanation:

f(x) = –4x + 3 and g(x) = 3x² + 2x – 4

We have to find (f + g)(x).

We know that (f+g)(x)=f(x)+g(x)

⇒ (f+g)(x)=-4x+3+3x²+2x-4

⇒ (f+g)(x)=3x²-2x-1

Hence, Correct option is:

C. (f + g)(x) = 3x² – 2x – 1