AP EAMCET · Maths · Functions
The domain of the function \(f(x)=\frac{1}{\sqrt{|x|-x}}\) is
- A \((0, \infty)\)
- B \((-\infty, 0)\)
- C \(\frac{(-\infty, \infty)}{\{0\}}\)
- D \((-\infty, \infty)\)
Answer & Solution
Correct Answer
(B) \((-\infty, 0)\)
Step-by-step Solution
Detailed explanation
Given, \(f(x)=\frac{1}{\sqrt{|x|-x}}\) \(f(x)\) is defined if \(|x|-x>0\) \(|x|>x\) It is possible only \(x \in(-\infty, 0)\) \(\therefore\) The domain of \(f(x)\) is \((-\infty, 0)\).
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