यदि (f(x)=\frac{x+1}{x-1}) और (g(x)=x-1) हैं, तो ((fg)(x)) का प्रांत क्या है?

If (f(x)=\frac{x+1}{x-1}) and (g(x)=x-1), what is the domain of ((fg)(x))?

Explanation opens after your attempt
Correct Answer

A. \(x \in \mathbb{R}, x \neq 1\)

Step 1

Concept

In the original (f(x)), \(x-1 \neq 0\), so \(x \neq 1\), even if simplification occurs after multiplication. Decide the domain from original expressions.

Step 2

Why this answer is correct

The correct answer is A. \(x \in \mathbb{R}, x \neq 1\). In the original (f(x)), \(x-1 \neq 0\), so \(x \neq 1\), even if simplification occurs after multiplication. Decide the domain from original expressions.

Step 3

Exam Tip

मूल (f(x)) में \(x-1 \neq 0\), इसलिए \(x \neq 1\), भले ही गुणा के बाद सरलीकरण हो। प्रांत मूल अभिव्यक्तियों से तय करें।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\frac{x+1}{x-1}) और (g(x)=x-1) हैं, तो ((fg)(x)) का प्रांत क्या है? / If (f(x)=\frac{x+1}{x-1}) and (g(x)=x-1), what is the domain of ((fg)(x))?

Correct Answer: A. \(x \in \mathbb{R}, x \neq 1\). Explanation: मूल (f(x)) में \(x-1 \neq 0\), इसलिए \(x \neq 1\), भले ही गुणा के बाद सरलीकरण हो। प्रांत मूल अभिव्यक्तियों से तय करें। / In the original (f(x)), \(x-1 \neq 0\), so \(x \neq 1\), even if simplification occurs after multiplication. Decide the domain from original expressions.

Which concept should I revise for this Mathematics MCQ?

In the original (f(x)), \(x-1 \neq 0\), so \(x \neq 1\), even if simplification occurs after multiplication. Decide the domain from original expressions.

What exam hint can help solve this Mathematics question?

मूल (f(x)) में \(x-1 \neq 0\), इसलिए \(x \neq 1\), भले ही गुणा के बाद सरलीकरण हो। प्रांत मूल अभिव्यक्तियों से तय करें।