Functions Question 655

Question: Function $ {{\sin }^{-1}}\sqrt{x} $ is defined in the interval

Options:

A) (?1, 1)

B) [0, 1]

C) [?1, 0]

D) (?1, 2)

Show Answer

Answer:

Correct Answer: B

Solution:

Let $ y={{\sin }^{-1}}\sqrt{x}\Rightarrow \sqrt{x}=\sin y $
$ \Rightarrow x={{\sin }^{2}}y,\therefore 0\le x\le 1 $