यदि (f(x)=x-2+5x+6) और (g(x)=x+2) हों, तो (\left\(\frac{f}{g}\right\)(x)) का सरल रूप क्या है?
If (f(x)=x-2+5x+6) and (g(x)=x+2), what is the simplified form of (\left\(\frac{f}{g}\right\)(x))?
Explanation opens after your attempt
Correct Answer
A. \(x+3,\ x\neq -2\)
Concept
(x-2+5x+6=(x+2)(x+3)), so the quotient is (x+3), but \(x\neq -2\). Write the restriction along with the factorization.
Why this answer is correct
The correct answer is A. \(x+3,\ x\neq -2\). (x-2+5x+6=(x+2)(x+3)), so the quotient is (x+3), but \(x\neq -2\). Write the restriction along with the factorization.
Exam Tip
(x-2+5x+6=(x+2)(x+3)), इसलिए quotient (x+3) है, पर \(x\neq -2\)। factorization के साथ restriction लिखना जरूरी है।
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