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Functions — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsFunctions2 Marks
MCQ
The domain of the function $f (x)=\exp \left(\sqrt{5 x-3-2 x^2}\right)$ 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)
$f (x)= e ^{\sqrt{5 x-3-2 x^2}}$
$\Rightarrow 5 x-3-2 x^2 \geq 0$
$\Rightarrow(x-1)\left(x-\frac{3}{2}\right) \leq 0$
$\therefore \quad D _{ f }=\left[1, \frac{3}{2}\right]$

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