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

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What is the range of (f(x)=\frac{1}{1+\sqrt{x}})?

Answer and explanation

Correct answer: ( (0,1] )

Since (\sqrt{x}\ge 0), the denominator is at least (1). At (x=0), the value is (1), and as (x\to\infty), it approaches (0).

Related tags

Real-Valued-Functions Range Radical Rational Real Valued Functions Their Domain And Range Real Valued Functions Their Domain And Range Relations And Functions Mathematics

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