The domain of y = cos^-1 |2-|x| / 4| + (log (3-x))^-1 is

Question

The domain of \(y =cos ^{-1} |\frac {2-|x|}{4}|+ (log (3-x))^{-1} \) is \([-\alpha ,\beta) - {\gamma}, \) then value of \(\alpha + \beta + \gamma = ?\)

(1) 9

(2) 12

(3) 11

(4) 10

Answer 1

Correct option is (3) 11

From (1), (2) and (3)

⇒ x ∈ [-6,3] - {2}

α = 6

β = 3

γ = 2

α + β + γ = 11