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The domain of definition of the function y(x) given by 2^x+2^y

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The domain of definition of the function $y (x)$ given by $2^{x} + 2^{y} = 2$ is

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The domain of definition of the function

y (x)

given by

2^{x} + 2^{y} = 2

7 mins ago

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Text solutionVerified

For domain of

x

let's assume

y

as a function of

x :

so,

2 - 2^{x} > 0

x^{2} < 2

x < 1;

Therefore solution is set form we have

x ϵ (- \infty, 1)

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Question Text	The domain of definition of the function $y (x)$ given by $2^{x} + 2^{y} = 2$ is
Answer Type	Text solution:1
Upvotes	150