Functions Question 631

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

[MP PET 2004]

Options:

A) $ [ 1,\ -\frac{3}{2} ] $

B) $ [ \frac{3}{2},\ \infty ] $

C) $ [-\infty ,\ 1] $

D) $ [ 1,\ \frac{3}{2} ] $

Show Answer

Answer:

Correct Answer: D

Solution:

$ f(x)={e^{\sqrt{5x-3-2x^{2}}}} $ Þ $ 5x-3-2x^{2}\ge 0 $ or $ (x-1)( x-\frac{3}{2} )\ge 0 $ \ $ D\in ,[1,,3/2] $ .