The domain of definition of the function f(x) given by the …

Maths Functions, Limits, Continuity and Differentiability Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

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

0 < x ≤ ≤ 1

0 ≤ ≤ x ≤ ≤ 1

− − ∞ < x ≤ ≤ 0

− − ∞ < x < 1

Text Solution

Verified by Experts

The correct answer is:

It is given that 2 x + 2 y = 2 x, y ∈ ∈ R

But 2 x . 2 y > 0 x , y ∈ ∈ R

Therefore, 2 x = 2 – 2 y < 2

⇒ ⇒ 0 < 2 x < 2

Taking log for both side with base 2 ⇒ ⇒ log 2 0 < log 2 2 x < log 2 2. Hence domain is − − ∞ < x < 1.

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