Questions
The domain of definition of the function y (x) given by the equation 2x + 2y = 2 is
a
0 < x ≤ 1
b
0 ≤ x ≤ 1
c
– ∞ < x ≤ 0
d
– ∞ < x < 1
detailed solution
Correct option is D
We have, 2x+2y=2⇒2y=2−2x⇒y=log2−2xlog2For y to be defined, 2−2x>0⇒2x<2Since, 2x is an increasing function, therefore we get x < 1.Talk to our academic expert!
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