TS EAMCET · Maths · Functions
If \(f\) is a real valued function from \(A\) onto \(B\) defined by \(f(x)=\frac{1}{\sqrt{|x-|x||}}\) then \(A \cap B=\)
- A \(\phi\)
- B \((-\infty, 0)\)
- C \((0, \infty)\)
- D \((-\infty, \infty)\)
Answer & Solution
Correct Answer
(A) \(\phi\)
Step-by-step Solution
Detailed explanation
\(\quad f(x)=\frac{1}{\sqrt{|x-|x||}}\) Domain of \(f(x)=x \in(-\infty, 0) \Rightarrow A \in(-\infty, 0)\) Range of \(f(x)=y \in(0, \infty) \Rightarrow B \in(0, \infty)\) \(A \cap B=\phi .\)
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