Q1Single correct3 Marks10 May 2026

Let $f_1, f_2$ be real-valued functions defined on a domain $D$. Let $Z_1$ and $Z_2$ denote the set of zeroes of $f_1$ and $f_2$, respectively, i.e., for $i \in \{1, 2\}$, $Z_i = \{x \in D \mid f_i(x) = 0\}$. Which of the following is a valid domain for the real-valued function $f_1 / f_2$?

A

$D$

B

$D \setminus Z_1$

C

$D \setminus Z_2$

D

$D \setminus (Z_1 \cap Z_2)$