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If (f(x)=x+\frac{1}{x}) and (x\ne 0), what is the range of (f)?यदि (f(x)=x+\frac{1}{x}) और (x\ne 0), तो (f) का परिसर क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( (-\infty,-2]\cup[2,\infty) )( (-\infty,-2]\cup[2,\infty) )
For positive (x), the value is at least (2), and for negative (x), it is at most (-2). Check both cases separately.धनात्मक (x) पर मान कम से कम (2) और ऋणात्मक (x) पर अधिक से अधिक (-2) होता है। दोनों स्थितियों को अलग जांचें।
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