The domain of the function f ( x ) = 9 − x 2 s i n − 1 ( x − 3 )

f ( x ) = 9 − x 2 s i n − 1 ( x − 3 ) is defined if (i) − 1 ≤ x − 3 ≤ 1 ⇒ 2 ≤ x ≤ 4 and (ii) $9-x^{2}>0 \Rightarrow-3

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MathematicsFunctionsDomain-RangeEasy2 minPYQ_2015

MathematicsEasysingle choice

The domain of the function $f (x) = \frac{s i n ^{- 1} ( x - 3 )}{9 - x ^{2}}$

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$f (x) = \frac{s i n ^{- 1} ( x - 3 )}{9 - x ^{2}}$ is defined if (i) $- 1 \leq x - 3 \leq 1 \Rightarrow 2 \leq x \leq 4$ and (ii) $9-x^{2}>0 \Rightarrow-3

Stream:BITSATSubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 2mℹ️ Source: PYQ_2015

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