What is the range of (f(x)=\frac{3x^2+1}{x^2+1})?फलन (f(x)=\frac{3x^2+1}{x^2+1}) का परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( [1,3) )( [1,3) )
Put (t=x^2\ge 0), then (f=\frac{3t+1}{t+1}=3-\frac{2}{t+1}). At (t=0), the value is (1), and (3) is only a limiting value.(t=x^2\ge 0) रखने पर (f=\frac{3t+1}{t+1}=3-\frac{2}{t+1})। (t=0) पर (1) मिलता है और (3) केवल सीमा मान है।
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