TS EAMCET · Maths · Functions
The domain of the real valued function \(f(x)=\sqrt[3]{\frac{x-2}{2 x^2-7 x+5}}+\log \left(x^2-x-2\right)\) is
- A \((-\infty,-1) \cup\left(2, \frac{5}{2}\right) \cup\left(\frac{5}{2}, \infty\right)\)
- B \(R-\left\{1, \frac{5}{2}\right\}\)
- C \((-\infty,-1) \cup(2, \infty)\)
- D \((-1,2)\)
Answer & Solution
Correct Answer
(A) \((-\infty,-1) \cup\left(2, \frac{5}{2}\right) \cup\left(\frac{5}{2}, \infty\right)\)
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Detailed explanation
Given function \(f(x)=\sqrt[3]{\frac{x-2}{2 x^2-7 x+5}}+\log \left(x^2-x-2\right)\) For domain :…
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