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] $ .