Functions Question 472
Question: Domain of the function $ \sqrt{\log { (5x-x^{2})/6 }} $ is
Options:
A) (2, 3)
B) [2, 3]
C) [1, 2]
D) [1, 3]
Show Answer
Answer:
Correct Answer: B
Solution:
$ \log ,{ \frac{5x-x^{2}}{6} },\ge 0\Rightarrow ,\frac{5x-x^{2}}{6}\ge 1 $ or $ x^{2}-5x+6\le 0 $ or $ (x-2),(x-3)\le 0 $ . Hence $ 2\le x\le 3. $