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  4. The domain of cos-1 √2x is

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Q. The domain of $\cos^{-1} \sqrt{2x}$ is

Inverse Trigonometric Functions

Solution:

$0 \le\sqrt{2x} \le 1 \Rightarrow 0 \le2x \le 1 \Rightarrow 0 \le x \le 1/2$