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  • The domain of the function defined by f x equal to sin inverse square root of x-1 is A. 1,2 B.-1,1 C. 0,1D. none of these

The domain of the function defined by f(x)=\sin^{-1}\sqrt{x-1} is

A.[1,2]

B.[-1,1]

C.[0,1]

D. None of these

 

Answers (1)

Answer: (A)

f(x)=\sin^{-1}\sqrt{x-1}

\Rightarrow 0\leq x-1\leq 1\left [ Since ,\sqrt{x-1}\geq 0 \, and\, -1\leq \sqrt{x-1} \leq 1\right ]

\Rightarrow 1\leq x\leq 2

\therefore x\epsilon \left [ 1,2 \right ]

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