Functions Question 250

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

Options:

A) $ ( -\frac{1}{5},\ \frac{1}{5} ) $

B) $ [ -\frac{1}{5},\ \frac{1}{5} ] $

C) R

D) $ ( 0,\ \frac{1}{5} ) $

Show Answer

Answer:

Correct Answer: B

Solution:

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