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  4. If the domain of function f(x)=√ log 2((x-2/3-x)) is [a, b) then the value of (2 a-b) is

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Q. If the domain of function $f(x)=\sqrt{\log _2\left(\frac{x-2}{3-x}\right)}$ is $[a, b)$ then the value of $(2 a-b)$ is

Relations and Functions - Part 2

Solution:

We have, $\left(\frac{x-2}{3-x}\right) \geq 1 \Rightarrow x \in\left[\frac{5}{2}, 3\right)$