TS EAMCET · Maths · Functions
If \([x]\) denotes the greatest integer \(\leq x\), then the range of the real valued function \(f(x)=\frac{1}{\sqrt{x-[x]}}\) is
- A \([0,1)\)
- B \((0,1)\)
- C \((1, \infty)\)
- D \([1, \infty)\)
Answer & Solution
Correct Answer
(C) \((1, \infty)\)
Step-by-step Solution
Detailed explanation
We are given that \(f(x)=\frac{1}{\sqrt{x-[x]}}\) but \(\mathrm{x}-[\mathrm{x}] \in(0,1)\) \(\Rightarrow \mathrm{f}(\mathrm{x}) \in(1, \infty)\)
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