Relations And Functions Practice Questions Ques23
Question: If $f(x) = 3x + 2$ and $g(x) = x - 1$, what is $(g \circ f)(x)$?
Options:
(A) $3x + 1$
(B) $3x - 1$
(C) $x + 1$
(D) $x - 1$
Show Answer
Answer: A
Explanation:
(A) Correct. $(g \circ f)(x) = g(f(x)) = g(3x + 2) = (3x + 2) - 1 = 3x + 1$
(B) Incorrect. This result is close but not exact.
(C) Incorrect. This would be the result if only $g(x)$ was applied.
(D) Incorrect. This is just $g(x)$, not the composition.
BETA
