यदि (f(x)=x+\frac{1}{x}) और (g(x)=x-\frac{1}{x}) हैं, तो (\(f^2-g^2\)(x)) क्या होगा?
If (f(x)=x+\frac{1}{x}) and (g(x)=x-\frac{1}{x}), what is (\(f^2-g^2\)(x))?
Explanation opens after your attempt
Correct Answer
A. (4)
Concept
(f-2-g-2=(f-g)(f+g)=\frac{2}{x}\cdot2x=4), where \(x\neq0\). Using an identity makes the calculation shorter.
Why this answer is correct
The correct answer is A. (4). (f-2-g-2=(f-g)(f+g)=\frac{2}{x}\cdot2x=4), where \(x\neq0\). Using an identity makes the calculation shorter.
Exam Tip
(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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