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If \(f(x)=x+\frac{2}{x}\) and \(g(x)=x-\frac{2}{x}\), what is ((fg)...
यदि \(f(x)=x+\frac{2}{x}\) और \(g(x)=x-\frac{2}{x}\) हैं, तो ((fg)(x)) किसके बराबर है?
If \(f(x)=x+\frac{2}{x}\) and \(g(x)=x-\frac{2}{x}\), what is ((fg)(x)) equal to?
#relations-functions
#algebra-real-functions
#product
#identity
A \(x^2-\frac{4}{x^2}\), \(x\ne 0\)
B \(x^2+\frac{4}{x^2}\), \(x\ne 0\)
C (2x), \(x\ne 0\)
D \(\frac{4}{x^2}\), \(x\ne 0\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-\frac{4}{x^2}\), \(x\ne 0\)
Explanation
Simple Explanation
\((fg)(x)=\left(x+\frac{2}{x}\right)\left(x-\frac{2}{x}\right)=x^2-\frac{4}{x^2}\)। पहचान \((a+b)(a-b)=a^2-b^2\) लगाएं। / \((fg)(x)=\left(x+\frac{2}{x}\right)\left(x-\frac{2}{x}\right)=x^2-\frac{4}{x^2}\). Apply \((a+b)(a-b)=a^2-b^2\).
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यदि \(f(x)=x+\frac{2}{x}\) और \(g(x)=x-\frac{2}{x}\) हैं, तो ((fg)(x)) किसके बराबर है? / If \(f(x)=x+\frac{2}{x}\) and \(g(x)=x-\frac{2}{x}\), what is ((fg)(x)) equal to?
Correct Answer: A. \(x^2-\frac{4}{x^2}\), \(x\ne 0\). Explanation: \((fg)(x)=\left(x+\frac{2}{x}\right)\left(x-\frac{2}{x}\right)=x^2-\frac{4}{x^2}\)। पहचान \((a+b)(a-b)=a^2-b^2\) लगाएं। / \((fg)(x)=\left(x+\frac{2}{x}\right)\left(x-\frac{2}{x}\right)=x^2-\frac{4}{x^2}\). Apply \((a+b)(a-b)=a^2-b^2\).
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