Domain of the function (5x - x^2 )/6 is - Vidyadip

MCQ

Domain of the function $\sqrt {\log \left\{ {(5x - {x^2})/6} \right\}} $ is

A
$(2, 3)$
✓
$[2, 3]$
C
$[1, 2]$
D
$[1, 3]$

✓

Answer

Correct option: B.

$[2, 3]$

b
(b) $\log \,\left\{ {\frac{{5x - {x^2}}}{6}} \right\}\, \ge 0\,\, \Rightarrow \,\frac{{5x - {x^2}}}{6} \ge 1$

or ${x^2} - 5x + 6 \le 0$ or $(x - 2)\,(x - 3) \le 0$.

Hence $2 \le x \le 3.$

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