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If (f(x)=x+\frac{1}{x}) and (g(x)=x-\frac{1}{x}), what is ((f^2-g^2)(x))?यदि (f(x)=x+\frac{1}{x}) और (g(x)=x-\frac{1}{x}) हैं, तो ((f^2-g^2)(x)) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (4)(4)
(f^2-g^2=(f-g)(f+g)=\frac{2}{x}\cdot2x=4), where (x\neq0). Using an identity makes the calculation shorter.(f^2-g^2=(f-g)(f+g)=\frac{2}{x}\cdot2x=4), जहाँ (x\neq0)। पहचान का प्रयोग गणना को छोटा करता है।
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