Question

Domain of function $f(x)={\sin }^{-1}5x$ is

• A. $\left(-\frac{1}{5},\frac{1}{5}\right)$
• B. $\left[-\frac{1}{5},\frac{1}{5}\right]$
• C. $R$
• D. $\left(0,\frac{1}{5}\right)$

Answer 1

Answer: (B)

Here, $-1\le 5x\le 1$ $\Rightarrow$ $\frac{-1}{5}\le x\le \frac{1}{5}$
Hence, domain is $\left[-\frac{1}{5},\frac{1}{5}\right]$ .