Functions Question 580
Question: The domain of definition of the function $ y(x) $ given by $ 2^{x}+2^{y}=2 $ is
[IIT Screening 2000; DCE 2001]
Options:
A) (0, 1]
B) [0, 1]
C) $ (-\infty ,\ 0] $
D) $ (-\infty ,\ 1) $
Show Answer
Answer:
Correct Answer: D
Solution:
$ 2^{y}=2-2^{x} $ ; y is real, if $ 2-2^{x}>0 $
Þ $ 2>2^{x} $
Þ $ 1>x $ Þ $ x\in (-\infty ,1) $
BETA
