TS EAMCET · Maths · Functions
The domain of the real valued function \(f(x)=\sqrt{\frac{2 x^2-7 x+5}{3 x^2-5 x-2}}\) is
- A \(\left(-\infty,-\frac{1}{3}\right) \cup[1,2) \cup\left[\frac{5}{2}, \infty\right)\)
- B \((-\infty, 1) \cup(2, \infty)\)
- C \(\left(-\frac{1}{3}, \frac{5}{2}\right]\)
- D \(\left(-\infty, \frac{-1}{3}\right] \cup\left[\frac{5}{2}, \infty\right)\)
Answer & Solution
Correct Answer
(A) \(\left(-\infty,-\frac{1}{3}\right) \cup[1,2) \cup\left[\frac{5}{2}, \infty\right)\)
Step-by-step Solution
Detailed explanation
Given function \(f(x)=\sqrt{\frac{2 x^2-7 x+5}{3 x^2-5 x-2}}\) Here, \({f}({x})\) should be greater than or equal to 0 .…
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