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?
Explanation opens after your attempt
Correct Answer
A. \(x^2-\frac{4}{x^2}\), \(x\ne 0\)
Concept
((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).
Why this answer is correct
The correct answer is A. \(x^2-\frac{4}{x^2}\), \(x\ne 0\). ((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).
Exam Tip
((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।
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