यदि (f(x)=x-2+2x) और (g(x)=x) हों, तो (\left\(\frac{f}{g}\right\)(x)) का domain क्या है?

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

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

In a quotient, the denominator (g(x)=x) must not be zero, so \(x\neq 0\). Apply the restriction before simplifying.

Step 2

Why this answer is correct

The correct answer is A. \(\mathbb{R}-{0}\). In a quotient, the denominator (g(x)=x) must not be zero, so \(x\neq 0\). Apply the restriction before simplifying.

Step 3

Exam Tip

quotient में denominator (g(x)=x) शून्य नहीं होना चाहिए, इसलिए \(x\neq 0\)। simplify करने से पहले restriction लगाएं।

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Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: A. \(\mathbb{R}-{0}\). Explanation: quotient में denominator (g(x)=x) शून्य नहीं होना चाहिए, इसलिए \(x\neq 0\)। simplify करने से पहले restriction लगाएं। / In a quotient, the denominator (g(x)=x) must not be zero, so \(x\neq 0\). Apply the restriction before simplifying.

Which concept should I revise for this Mathematics MCQ?

In a quotient, the denominator (g(x)=x) must not be zero, so \(x\neq 0\). Apply the restriction before simplifying.

What exam hint can help solve this Mathematics question?

quotient में denominator (g(x)=x) शून्य नहीं होना चाहिए, इसलिए \(x\neq 0\)। simplify करने से पहले restriction लगाएं।