यदि (f(x)=\frac{x}{x+2}) और (g(x)=\frac{3}{x-5}) हों, तो ((fg)(x)) का domain क्या है?

If (f(x)=\frac{x}{x+2}) and (g(x)=\frac{3}{x-5}), what is the domain of ((fg)(x))?

Explanation opens after your attempt
Correct Answer

A. \(\mathbb{R}-{-2,5}\)

Step 1

Concept

Both denominators (x+2) and (x-5) must be non-zero. Therefore, \(x\neq -2\) and \(x\neq 5\).

Step 2

Why this answer is correct

The correct answer is A. \(\mathbb{R}-{-2,5}\). Both denominators (x+2) and (x-5) must be non-zero. Therefore, \(x\neq -2\) and \(x\neq 5\).

Step 3

Exam Tip

दोनों denominators (x+2) और (x-5) non-zero होने चाहिए। इसलिए \(x\neq -2\) और \(x\neq 5\)।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\frac{x}{x+2}) और (g(x)=\frac{3}{x-5}) हों, तो ((fg)(x)) का domain क्या है? / If (f(x)=\frac{x}{x+2}) and (g(x)=\frac{3}{x-5}), what is the domain of ((fg)(x))?

Correct Answer: A. \(\mathbb{R}-{-2,5}\). Explanation: दोनों denominators (x+2) और (x-5) non-zero होने चाहिए। इसलिए \(x\neq -2\) और \(x\neq 5\)। / Both denominators (x+2) and (x-5) must be non-zero. Therefore, \(x\neq -2\) and \(x\neq 5\).

Which concept should I revise for this Mathematics MCQ?

Both denominators (x+2) and (x-5) must be non-zero. Therefore, \(x\neq -2\) and \(x\neq 5\).

What exam hint can help solve this Mathematics question?

दोनों denominators (x+2) और (x-5) non-zero होने चाहिए। इसलिए \(x\neq -2\) और \(x\neq 5\)।