MCQ
The domain of the function $f(x) = \exp (\sqrt {5x - 3 - 2{x^2}} )$ is
- A$\left[ {1,\; - \frac{3}{2}} \right]$
- B$\left[ {\frac{3}{2},\;\infty } \right]$
- C$[ - \infty ,\;1]$
- ✓$\left[ {1,\;\frac{3}{2}} \right]$
✓
Answer
Correct option: D.
$\left[ {1,\;\frac{3}{2}} \right]$
d
(d) $f(x) = {e^{\sqrt {5x - 3 - 2{x^2}} }}$
(d) $f(x) = {e^{\sqrt {5x - 3 - 2{x^2}} }}$
==>$5x - 3 - 2{x^2} \ge 0$ or $(x - 1)\left( {x - \frac{3}{2}} \right) \ge 0$
$\therefore$ $D \in \,[1,\,3/2]$.
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