Relations And Functions Practice Questions Ques20
Question: If $f(x) = x^3$ and $g(x) = x^2$, what is $(f \cdot g)(2)$?
Options:
(A) 32
(B) 8
(C) 12
(D) 16
Show Answer
Answer: A
Explanation:
(A) Correct. $(f \cdot g)(x) = f(x) \cdot g(x) = x^3 \cdot x^2 = x^5$. So, $(f \cdot g)(2) = 2^5 = 32$
(B) Incorrect. This is the result of $f(2) = 2^3 = 8$
(C) Incorrect. This is not the correct multiplication of the functions
(D) Incorrect. This is the result of $g(2) \cdot g(2) = 2^2 \cdot 2^2 = 16$
BETA
