TS EAMCET · Maths · Functions
If \([x]\) denotes the greatest integer function, then the domain of the function \(f(x)=\sqrt{\frac{x-[x]}{\log \left(x^2-x\right)}}\), is
- A \((1, \infty)\)
- B \((1, \infty)-Z\)
- C \(R-\left[\frac{1-\sqrt{5}}{2}, \frac{1+\sqrt{5}}{2}\right]\)
- D \(\left[\frac{1-\sqrt{5}}{2}, \frac{\sqrt{5}+1}{2}\right]\)
Answer & Solution
Correct Answer
(C) \(R-\left[\frac{1-\sqrt{5}}{2}, \frac{1+\sqrt{5}}{2}\right]\)
Step-by-step Solution
Detailed explanation
We have, \[ f(x)=\sqrt{\frac{x-[x]}{\log \left(x^2-x\right)}} \] It is defined \[ \log \left(x^2-x\right)>0 \quad[\because x-[x]=[x] \geq 0, \forall x \in R] \]…
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