यदि (f(x)=\frac{x+2}{x}) और (g(x)=\frac{x-2}{x}) हैं, तो (\(f^2-g^2\)(x)) क्या होगा?
If (f(x)=\frac{x+2}{x}) and (g(x)=\frac{x-2}{x}), what is (\(f^2-g^2\)(x))?
Explanation opens after your attempt
Correct Answer
A. \( \frac{8}{x} \)
Concept
Here \(f-g=\frac{4}{x}\) and (f+g=2), so \(f^2-g^2=\frac{8}{x}\). The identity (a-2-b-2=(a-b)(a+b)) is very useful.
Why this answer is correct
The correct answer is A. \( \frac{8}{x} \). Here \(f-g=\frac{4}{x}\) and (f+g=2), so \(f^2-g^2=\frac{8}{x}\). The identity (a-2-b-2=(a-b)(a+b)) is very useful.
Exam Tip
\(f-g=\frac{4}{x}\) और (f+g=2), इसलिए \(f^2-g^2=\frac{8}{x}\)। पहचान (a-2-b-2=(a-b)(a+b)) बहुत उपयोगी है।
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