यदि (f(x)=x+2) और (g(x)=x-2-4) हैं तो (\left\(\frac{g}{f}\right\)(x)) का सरल रूप क्या है?
If (f(x)=x+2) and (g(x)=x-2-4) then what is the simplified form of (\left\(\frac{g}{f}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. (x-2), \(x\ne -2\)
Concept
(\frac{g}{f}=\frac{x-2-4}{x+2}=\frac{(x-2)(x+2)}{x+2}=x-2), but \(x\ne -2\). Exclude the zero of the cancelled factor too.
Why this answer is correct
The correct answer is A. (x-2), \(x\ne -2\). (\frac{g}{f}=\frac{x-2-4}{x+2}=\frac{(x-2)(x+2)}{x+2}=x-2), but \(x\ne -2\). Exclude the zero of the cancelled factor too.
Exam Tip
(\frac{g}{f}=\frac{x-2-4}{x+2}=\frac{(x-2)(x+2)}{x+2}=x-2), पर \(x\ne -2\)। रद्द किए गए गुणनखंड का शून्य भी हटाएँ।
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