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