यदि (f(x)=\frac{1}{x}) और (g(x)=x-2) हैं तो (\(f\circ g\)(x)) का प्रांत क्या है?
If (f(x)=\frac{1}{x}) and (g(x)=x-2) then what is the domain of (\(f\circ g\)(x))?
Explanation opens after your attempt
A. \(\mathbb{R}-{0})
Concept
(\(f\circ g\)(x)=f\(x^2\)=\frac{1}{x-2}) so \(x\ne 0\). In composition also check the domain of the outer function.
Why this answer is correct
The correct answer is A. \(\mathbb{R}-{0}). (\(f\circ g\)(x)=f\(x^2\)=\frac{1}{x-2}) so \(x\ne 0\). In composition also check the domain of the outer function.
Exam Tip
(\(f\circ g\)(x)=f\(x^2\)=\frac{1}{x-2}) इसलिए \(x\ne 0\)। संयोजन में बाहरी फलन का प्रांत भी जाँचें।
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