The domain of definition of the function y (x) given by the equation 2x + 2y = 2 is

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0 < x ≤ 1

0 ≤ x ≤ 1

– ∞ < x ≤ 0

– ∞ < x < 1

answer is D.

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Detailed Solution

We have, 2x+2y=2⇒2y=2−2x⇒y=log⁡2−2xlog⁡2For y to be defined, 2−2x>0⇒2x<2Since, 2x is an increasing function, therefore we get x < 1.

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