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What is the range of (f(x)=\frac{x^2-2x+5}{x^2-2x+2})?फलन (f(x)=\frac{x^2-2x+5}{x^2-2x+2}) का परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( (1,4] )( (1,4] )
Put (t=(x-1)^2\ge 0), then (f=\frac{t+4}{t+1}=1+\frac{3}{t+1}). The maximum is (4), and (1) is only a limiting value.(t=(x-1)^2\ge 0) रखने पर (f=\frac{t+4}{t+1}=1+\frac{3}{t+1})। अधिकतम (4) है और (1) केवल सीमा मान है।
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