Q. The domain of the function $f(x) = \frac{\cos^{- 1}x}{\lbrack x\rbrack}$ is
A) $\lbrack - 1,\ 0) \cup \{ 1\}$
B) [-1, 1]
C) [-1, 1)
D) None of these
Explanation
(a)
$\because\ \ f(x) = \frac{\cos^{- 1}x}{\lbrack x\rbrack}$
For $f(x)$ to be defined $- 1 \leq x \leq 1$ and $\lbrack x\rbrack \neq 0 \Rightarrow x \notin \lbrack 0,\ 1)$
$\therefore$ Domain of $f(x)$ is $\lbrack - 1,\ 0) \cup \{ 1\}$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.