Functions Question 429
Question: The domain of the function $ \sqrt{x^{2}-5x+6}+\sqrt{2x+8-x^{2}} $ is
Options:
A) $ [2,3] $
B) $ [-2,4] $
C) $ [-2,2]\cup [3,4] $
D) $ [-2,1]\cup [2,4] $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ f(x)=\sqrt{(x-2)(x-3)}+\sqrt{-(x-4)(x+2)} $ The first part is real outside (2, 3) and the second is real [-2, 4] so that the domain is $ [-2,2]\cup [3,4]. $
BETA
