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What is the range of (f(x)=\frac{x^2+5}{x^2+2})?फलन (f(x)=\frac{x^2+5}{x^2+2}) का परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( (1,\frac{5}{2}] )( (1,\frac{5}{2}] )
Put (t=x^2\ge 0), then (f=\frac{t+5}{t+2}=1+\frac{3}{t+2}). The maximum is (\frac{5}{2}), and (1) is only a limiting value.(t=x^2\ge 0) रखने पर (f=\frac{t+5}{t+2}=1+\frac{3}{t+2})। अधिकतम (\frac{5}{2}) है और (1) केवल सीमा मान है।
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