फलन (f(x)=\frac{x-2-4}{x-2}) का प्रांत क्या है?

What is the domain of (f(x)=\frac{x-2-4}{x-2})?

Explanation opens after your attempt
Correct Answer

A. \( \mathbb{R}\setminus{2} \)

Step 1

Concept

Even after simplification, the original denominator requires \(x-2\ne 0\). Do not add the cancelled point back into the domain.

Step 2

Why this answer is correct

The correct answer is A. \( \mathbb{R}\setminus{2} \). Even after simplification, the original denominator requires \(x-2\ne 0\). Do not add the cancelled point back into the domain.

Step 3

Exam Tip

सरलीकरण के बाद भी मूल हर में \(x-2\ne 0\) रहना चाहिए। हटे हुए बिंदु को प्रांत में वापस न जोड़ें।

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Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\frac{x-2-4}{x-2}) का प्रांत क्या है? / What is the domain of (f(x)=\frac{x-2-4}{x-2})?

Correct Answer: A. \( \mathbb{R}\setminus{2} \). Explanation: सरलीकरण के बाद भी मूल हर में \(x-2\ne 0\) रहना चाहिए। हटे हुए बिंदु को प्रांत में वापस न जोड़ें। / Even after simplification, the original denominator requires \(x-2\ne 0\). Do not add the cancelled point back into the domain.

Which concept should I revise for this Mathematics MCQ?

Even after simplification, the original denominator requires \(x-2\ne 0\). Do not add the cancelled point back into the domain.

What exam hint can help solve this Mathematics question?

सरलीकरण के बाद भी मूल हर में \(x-2\ne 0\) रहना चाहिए। हटे हुए बिंदु को प्रांत में वापस न जोड़ें।