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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+|x|})?

Answer and explanation

Correct answer: ( (0,1] )

The denominator (1+|x|\ge 1), so the maximum value is (1). As (x) grows, the value approaches (0) but never becomes (0).

Related tags

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

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