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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{x^2+2x+5}{x^2+2x+2})?

Answer and explanation

Correct answer: ( (1,4] )

Put (t=(x+1)^2\ge 0), then (f=\frac{t+4}{t+1}=1+\frac{3}{t+1}). Hence the values are greater than (1) and up to (4).

Related tags

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

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