# Find the Domain

• September 24th 2009, 11:41 PM
utsav
Find the Domain
[.] is Greatest Integer Function... Modulus is there...

http://i34.tinypic.com/znn6me.jpg

Answer is [3/2, 2) U (2, infinity)
I got the answer only (2, infinity)...
• September 25th 2009, 12:09 AM
NonCommAlg
Quote:

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 $x \neq 2.$