Relations And Functions Practice Questions Ques25
Question: When are two functions $f$ and $g$ considered equal?
Options:
(A) When they have the same domain
(B) When they have the same range
(C) When $f(x) = g(x)$ for all $x$ in their common domain
(D) None of the above
Show Answer
Answer: C
Explanation:
(A) Incorrect. Having the same domain doesn’t guarantee equality of functions.
(B) Incorrect. Having the same range doesn’t guarantee equality of functions.
(C) Correct. Two functions are equal if and only if they produce the same output for every input in their common domain.
(D) Incorrect. Option (c) is the correct statement.
BETA
