# Math Help - Find the Domain

1. ## Find the Domain

[.] is Greatest Integer Function... Modulus is there...

Answer is [3/2, 2) U (2, infinity)
I got the answer only (2, infinity)...

2. Originally Posted by utsav
[.] is Greatest Integer Function... Modulus is there ...

$\log_{[x + 1/2]} |x^2-x-2|.$

Answer is [3/2, 2) U (2, infinity)
I got the answer only (2, infinity)...
the base of $\log$ is always $> 1$. so $x + 1/2 \geq 2,$ which gives you $x \geq 3/2.$ we also need to have $x^2-x-2 \neq 0,$ and that gives you $x \neq 2.$