यदि (f(x)=\frac{x}{x-1}) और (g(x)=\frac{x-1}{x}) हैं, तो ((fg)(x)) का प्रांत क्या होगा?
If (f(x)=\frac{x}{x-1}) and (g(x)=\frac{x-1}{x}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. \(x\ne0,1\)
Concept
Although the product becomes (1), the original functions exclude (x=0) and (x=1). It is safer to decide the domain before simplification.
Why this answer is correct
The correct answer is A. \(x\ne0,1\). Although the product becomes (1), the original functions exclude (x=0) and (x=1). It is safer to decide the domain before simplification.
Exam Tip
यद्यपि गुणनफल (1) बनता है, मूल फलनों में (x=0) और (x=1) निषिद्ध हैं। सरलीकरण से पहले प्रांत तय करना सुरक्षित तरीका है।
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