Question

Number of integers in the domain of $f(x)=\sqrt{\pi -2{\sin }^{-1}x}$ is /are

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

Answer: (D)

$\pi -2{\sin }^{-1}x\ge 0$
${\sin }^{-1}x\le \frac{\pi }{2}$, which is true $\forall x\in [-1,1]$