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

The correct option is C 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] ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Domain

The domain of...

Question

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

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

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: $[1, \frac{3}{2}]$

Suggest Corrections

Similar questions

Q. The domain of the function

f (x) = e x p (\sqrt{5 x - 3 - 2 x^{2}})

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

Domain of the function $f (x) = s i n^{- 1} (1 + 3 x + 2 x^{2})$ is

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

Q. Domain of the function f(x) =

s i n^{- 1} (2 x^{2} + 3 x + 1)

Join BYJU'S Learning Program

The domain of the function f(x)=e(√5x−3−2x2) is

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: $[1, \frac{3}{2}]$