Functions Question 333
Question: The domain of $ f(x)=\frac{{\log_2}(x+3)}{x^{2}+3x+2} $ is
[IIT Screening 2001; UPSEAT 2001]
Options:
A) $ R-{-1,\ -2} $
B) $ (-2,\ +\infty ) $
C) $ R-{-1,\ -2,\ -3} $
D) $ (-3,\ +\infty )-{-1,\ -2} $
Show Answer
Answer:
Correct Answer: D
Solution:
Here $ x+3>0 $ and $ x^{2}+3x+2\ne 0 $ \ $ x>-3 $ and $ (x+1)(x+2)\ne 0, $ i.e. $ x\ne -1,,-2 $ \ Domain $ =(-3,,\infty )-{-1,,-2} $ .
BETA
