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] $ .