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

Question

If the domain of function f(x)=√ log 2((x-2/3-x)) is [a, b) then the value of (2 a-b) is (A) 2 (B) 3 (C) 4 (D) 5

Tardigrade Admin · Accepted Answer

We have, ((x-2/3-x)) ≥ 1 ⇒ x ∈[(5/2), 3)

Q. If the domain of function $f (x) = lo g_{2} (\frac{x - 2}{3 - x})$ is $[a, b)$ then the value of $(2 a - b)$ is