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

Correct option is:

C. (f + g)(x) = 3x² – 2x – 1

Step-by-step 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

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step-by-step explanation: