यदि (f(x)=x-2-9) और (g(x)=x-3) हों, तो (\left\(\frac{f}{g}\right\)(x)) का सरल रूप क्या है?
If (f(x)=x-2-9) and (g(x)=x-3), what is the simplified form of (\left\(\frac{f}{g}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. \(x+3,\ x \neq 3\)
Concept
(\frac{x-2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3), but (x=3) is not allowed. Even after cancellation, remember the original denominator.
Why this answer is correct
The correct answer is A. \(x+3,\ x \neq 3\). (\frac{x-2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3), but (x=3) is not allowed. Even after cancellation, remember the original denominator.
Exam Tip
(\frac{x-2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3), पर (x=3) allowed नहीं है। cancel करने के बाद भी मूल denominator याद रखें।
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