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

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What is the domain of (f(x)=\frac{\sqrt{5-x}}{x+3})?

Answer and explanation

Correct answer: ((-\infty,5]\setminus{-3})

The square root needs (5-x\ge 0) and the denominator needs (x+3\ne 0). In exams take the intersection of both conditions.

Related tags

Real-Valued-Functions Domain Radical-Rational 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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