Domain of the function $\sqrt{\log_e\left\{\begin{matrix}\frac{(5x-x^2)}{6}\end{matrix}\right\}}$
Answer & explanation
Correct answer: option 2
$\log_e\left\{\begin{matrix}\frac{(5x-x^2)}{6}\end{matrix}\right\}≥0⇒\frac{5x-x^2}{6}≥1$ or $x^2-5x+6≤0$ or $(x − 2)(x −3) ≤0$
Hence $2 ≤ x ≤ 3$