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pallavi pradeep bhardwaj Grade: 12
        

The domain of definition of the function y (x) is given by the equation 2x+ 2y = 2 is :
(A) 0< x≤1                                                  (B) 0≤x≤1
(C) -∞ < x ≤0                                              (D) -∞< x<1

7 years ago

Answers : (1)

AskIITian Expert Priyasheel - IITD
8 Points
										

2^x +2^y =2, or, 2^y = 2 - 2^x


Take log with base 2 on both sides,


y=log(2-2^x),


For y to be real, 2 - 2^x > 0,


i.e., 2 > 2^x,


or, x < 1.


ANS is (D).

7 years ago
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