यदि (f(x)=\frac{1}{x-2}) और (g(x)=x+4) हों, तो ((f+g)(x)) का domain क्या होगा?

If (f(x)=\frac{1}{x-2}) and (g(x)=x+4), what is the domain of ((f+g)(x))?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

In (f(x)), the denominator (x-2) cannot be zero, so \(x\neq 2\). The polynomial (g(x)) is defined for all real (x).

Step 2

Why this answer is correct

The correct answer is A. \(\mathbb{R}-{2}\). In (f(x)), the denominator (x-2) cannot be zero, so \(x\neq 2\). The polynomial (g(x)) is defined for all real (x).

Step 3

Exam Tip

(f(x)) में denominator (x-2) शून्य नहीं हो सकता, इसलिए \(x\neq 2\)। polynomial (g(x)) सभी real (x) पर defined है।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\frac{1}{x-2}) और (g(x)=x+4) हों, तो ((f+g)(x)) का domain क्या होगा? / If (f(x)=\frac{1}{x-2}) and (g(x)=x+4), what is the domain of ((f+g)(x))?

Correct Answer: A. \(\mathbb{R}-{2}\). Explanation: (f(x)) में denominator (x-2) शून्य नहीं हो सकता, इसलिए \(x\neq 2\)। polynomial (g(x)) सभी real (x) पर defined है। / In (f(x)), the denominator (x-2) cannot be zero, so \(x\neq 2\). The polynomial (g(x)) is defined for all real (x).

Which concept should I revise for this Mathematics MCQ?

In (f(x)), the denominator (x-2) cannot be zero, so \(x\neq 2\). The polynomial (g(x)) is defined for all real (x).

What exam hint can help solve this Mathematics question?

(f(x)) में denominator (x-2) शून्य नहीं हो सकता, इसलिए \(x\neq 2\)। polynomial (g(x)) सभी real (x) पर defined है।