यदि (f(x)=x-2-9) और (g(x)=x-3) हैं, तो \(x \neq 3\) के लिए (\left\(\frac{f}{g}\right\)(x)) क्या होगा?

If (f(x)=x-2-9) and (g(x)=x-3), what is (\left\(\frac{f}{g}\right\)(x)) for \(x \neq 3\)?

Explanation opens after your attempt
Correct Answer

A. (x+3)

Step 1

Concept

(\left\(\frac{f}{g}\right\)(x)=\frac{x-2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3), where \(x \neq 3\). Always check that the denominator is not zero.

Step 2

Why this answer is correct

The correct answer is A. (x+3). (\left\(\frac{f}{g}\right\)(x)=\frac{x-2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3), where \(x \neq 3\). Always check that the denominator is not zero.

Step 3

Exam Tip

(\left\(\frac{f}{g}\right\)(x)=\frac{x-2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3), जहाँ \(x \neq 3\)। हर शून्य न हो, यह हमेशा जाँचें।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=x-2-9) और (g(x)=x-3) हैं, तो \(x \neq 3\) के लिए (\left\(\frac{f}{g}\right\)(x)) क्या होगा? / If (f(x)=x-2-9) and (g(x)=x-3), what is (\left\(\frac{f}{g}\right\)(x)) for \(x \neq 3\)?

Correct Answer: A. (x+3). Explanation: (\left\(\frac{f}{g}\right\)(x)=\frac{x-2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3), जहाँ \(x \neq 3\)। हर शून्य न हो, यह हमेशा जाँचें। / (\left\(\frac{f}{g}\right\)(x)=\frac{x-2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3), where \(x \neq 3\). Always check that the denominator is not zero.

Which concept should I revise for this Mathematics MCQ?

(\left\(\frac{f}{g}\right\)(x)=\frac{x-2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3), where \(x \neq 3\). Always check that the denominator is not zero.

What exam hint can help solve this Mathematics question?

(\left\(\frac{f}{g}\right\)(x)=\frac{x-2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3), जहाँ \(x \neq 3\)। हर शून्य न हो, यह हमेशा जाँचें।