Relations And Functions Practice Questions Ques17

Question: If $f(x) = x^2$ and $g(x) = x+1$, what is $(f+g)(3)$?

Options:

(A) 13

(B) 12

(C) 9

(D) 15

Show Answer

Answer: A

Explanation:

(A) Correct. $(f+g)(3) = f(3) + g(3) = 3^2 + (3+1) = 9 + 4 = 13$

(B) Incorrect. This would be the result if $g(x) = x$ instead of $x+1$

(C) Incorrect. This is the result of $f(3)$ alone

(D) Incorrect. This would be the result if $g(x) = x+3$ instead of $x+1$