The domain of the function fx-e-5 x-3-2 x2 isA- - 1B- 1-3-2C- -3-2- -D- -1- 3-2-

The correct option is D The polynomial under the square root must be non negative 5x 3 2x^2≥ 0 2x^2 5x+3≤ 0 (x 1)(x 3/2)≤ 0 So, domain of th function: [1, 3/2] ...

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Standard XI

Mathematics

Domain

The domain of...

Question

The domain of the function $f (x) = e^{(\sqrt{5 x - 3 - 2 x^{2}})}$ is

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Solution

The correct option is D
The polynomial under the square root must be non-negative
$5 x - 3 - 2 x^{2} \geq 0$

$2 x^{2} - 5 x + 3 \leq 0$

$(x - 1) (x - \frac{3}{2}) \leq 0$

So, domain of th function: $[1, \frac{3}{2}]$

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The correct option is D The polynomial under the square root must be non-negative 5x−3−2x2≥0 2x2−5x+3≤0 (x−1)(x−32)≤0 So, domain of th function: [1,32]

The domain of the function $f (x) = e^{(\sqrt{5 x - 3 - 2 x^{2}})}$ is

The correct option is D
The polynomial under the square root must be non-negative
$5 x - 3 - 2 x^{2} \geq 0$

$2 x^{2} - 5 x + 3 \leq 0$

$(x - 1) (x - \frac{3}{2}) \leq 0$

So, domain of th function: $[1, \frac{3}{2}]$