The domain of the function f(x) = (\frac{1}{\sqrt{\[x]^2-3\[... | Mathematics | SolveeIt | Solveeit

Today, August 24

Question

The domain of the function f(x) = $\frac{1}{\sqrt{[x]^2-3[x]-10}}$ is (where [x] denotes the greatest integer less than or equal to x)

A

(-∞,-2) ∪ (6, ∞)

B

(-∞,-2) ∪ (5, ∞)

C

(-∞,-3) ∪ (6, ∞)

D

(-∞,-3) ∪ (5, ∞)

Answer

(-∞,-2) ∪ (6, ∞)

Explanation

Solution

The Correct Option is(A):(-∞,-2) ∪ (6, ∞)