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

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If (f(x)=\frac{x^2+2x+5}{x^2+2x+2}), what is the range of (f)?

Answer and explanation

Correct answer: ( (1,\frac{5}{2}] )

The denominator is ((x+1)^2+1), and (f(x)=1+\frac{3}{(x+1)^2+1}). Hence values are greater than (1) and up to (\frac{5}{2}).

Related tags

Relations-Functions Domain-Range Hard Level-32 Real Valued Functions Their Domain And Range Real Valued Functions Their Domain And Range Relations And Functions Mathematics

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