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If \(f(x)=x+\frac{3}{x}\) and \(g(x)=x-\frac{3}{x}\), what is ((fg)(x))?यदि \(f(x)=x+\frac{3}{x}\) और \(g(x)=x-\frac{3}{x}\) हैं, तो ((fg)(x)) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x^2-\frac{9}{x^2}\), (x\ne 0)\(x^2-\frac{9}{x^2}\), (x\ne 0)
\((fg)(x)=\left(x+\frac{3}{x}\right)\left(x-\frac{3}{x}\right)=x^2-\frac{9}{x^2}\). Use \((a+b)(a-b)=a^2-b^2\) here.\((fg)(x)=\left(x+\frac{3}{x}\right)\left(x-\frac{3}{x}\right)=x^2-\frac{9}{x^2}\)। यहां \((a+b)(a-b)=a^2-b^2\) लगती है।
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