यदि (f(x)=\frac{2}{x}) और (g(x)=x-2) हैं, तो ((fg)(x)) क्या है और उसका प्रांत क्या है?
If (f(x)=\frac{2}{x}) and (g(x)=x-2), what is ((fg)(x)) and its domain?
Explanation opens after your attempt
Correct Answer
A. \(2x, x \neq 0\)
Concept
((fg)(x)=\frac{2}{x}\cdot x-2=2x), but \(x \neq 0\) because of the original denominator. Keep original restrictions after simplification.
Why this answer is correct
The correct answer is A. \(2x, x \neq 0\). ((fg)(x)=\frac{2}{x}\cdot x-2=2x), but \(x \neq 0\) because of the original denominator. Keep original restrictions after simplification.
Exam Tip
((fg)(x)=\frac{2}{x}\cdot x-2=2x), पर मूल हर के कारण \(x \neq 0\)। सरलीकरण के बाद भी मूल प्रतिबंध रखें।
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