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A : If $f : R \to R$ defined by $f (x) = \sin^{- 1} \frac{x}{2} + \log_{10}^{x}$ then the domain of the function is (0, 2]
R : If D1 and D2 are domains of f1 and f2 , then the domain of f1+ f2 is $D_{1} \cap D_{2}$

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Both A and R are true but R is not correct explanation of A

A is true but R is false

A is false but R is true

A and R are true and R is the correct explanation of A

answer is A.

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Both A and R are true and $R \Rightarrow A$

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