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

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What is the domain of (f(x)=\sqrt{1-x^2})?

Answer and explanation

Correct answer: ([-1,1])

For the square root, (1-x^2\ge 0), so (x^2\le 1) and (-1\le x\le 1). In exams (x^2\le a^2) gives a closed interval.

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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