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