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

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

Explanation opens after your attempt
Correct Answer

A. \(\mathbb{R}-{0}\)

Step 1

Concept

In \(\frac{1}{x}\), the denominator becomes zero at (x=0). Therefore, the domain of the sum is \(\mathbb{R}-{0}\).

Step 2

Why this answer is correct

The correct answer is A. \(\mathbb{R}-{0}\). In \(\frac{1}{x}\), the denominator becomes zero at (x=0). Therefore, the domain of the sum is \(\mathbb{R}-{0}\).

Step 3

Exam Tip

\(\frac{1}{x}\) में (x=0) पर denominator शून्य हो जाता है। इसलिए sum का domain \(\mathbb{R}-{0}\) है।

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Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: A. \(\mathbb{R}-{0}\). Explanation: \(\frac{1}{x}\) में (x=0) पर denominator शून्य हो जाता है। इसलिए sum का domain \(\mathbb{R}-{0}\) है। / In \(\frac{1}{x}\), the denominator becomes zero at (x=0). Therefore, the domain of the sum is \(\mathbb{R}-{0}\).

Which concept should I revise for this Mathematics MCQ?

In \(\frac{1}{x}\), the denominator becomes zero at (x=0). Therefore, the domain of the sum is \(\mathbb{R}-{0}\).

What exam hint can help solve this Mathematics question?

\(\frac{1}{x}\) में (x=0) पर denominator शून्य हो जाता है। इसलिए sum का domain \(\mathbb{R}-{0}\) है।