What is the domain of \(f(x)=\frac{2}{x+4}\)?\(f(x)=\frac{2}{x+4}\) का domain क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\mathbb{R}\setminus\{-4\}\)\(\mathbb{R}\setminus\{-4\}\)
The function \(f(x)=\frac{2}{x+4}\) is defined for all real \(x\) except when the denominator is zero.
So we must have \(x+4\neq 0\Rightarrow x\neq -4\). Hence the domain is \(\mathbb{R}\setminus\{-4\}\).\(f(x)=\frac{2}{x+4}\) सभी वास्तविक \(x\) के लिए परिभाषित है, सिवाय इसके कि जब denominator शून्य हो।
अर्थात् \(x+4\neq 0\Rightarrow x\neq -4\)। इसलिए domain \(\mathbb{R}\setminus\{-4\}\) है।
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