Functions Question 440
Question: If f and g are two functions defined as $ f(x)=x+2, $ $ x\le 0;g(x)=3,x\ge 0, $ then the domain of $ f+g $ is
Options:
A) $ {0} $
B) $ [ 0,\infty ) $
C) $ (-\infty ,\infty ) $
D) $ (-\infty ,0) $
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ D(f+g)=D(f)\cap D(g) $ $ =(-\infty ,0]\cap [0,\infty )={0} $
BETA
