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Class 11 Mathematics Relations and Functions Real-Valued Functions, Their Domain and RangeEasy

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Which condition is correct for the domain of (f(x)=\sqrt{x-2}+\sqrt{8-x})?

Answer and explanation

Correct answer: (2\le x\le 8)

Both square roots need (x-2\ge 0) and (8-x\ge 0), so (2\le x\le 8). In exams take the intersection of conditions for the combined domain.

Related tags

Real-Valued-Functions Domain Square-Root Real Valued Functions Their Domain And Range Real Valued Functions Their Domain And Range Relations And Functions Mathematics Class 11 Mcq

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