TS EAMCET · Maths · Functions
The domain of the function, \(f(x)=\sqrt{\log _{10}\left(\frac{5 x-x^2}{4}\right)}\)
- A \([0,1]\)
- B \([1,4]\)
- C \([4,5]\)
- D \((-\infty, \infty)\)
Answer & Solution
Correct Answer
(B) \([1,4]\)
Step-by-step Solution
Detailed explanation
We have, \(f(x)=\sqrt{\log _{10}\left(\frac{5 x-x^2}{4}\right)}\) For \(f(x)\) to be defined \(\begin{aligned} & \therefore \quad x \in[1,4] \\ & \end{aligned}\) So, domain of \(f(x)\) is \([1,4]\).
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