Re: functions

Posted by Dr. Strange on Apr 18, 2016; 11:26am
URL: http://discussion-forum.276.s1.nabble.com/functions-tp7599851p7599926.html

for first question,condition is
(log x)^2 -5*log x +6 >0 and x>0

(log x -2)(log x -3)>0
log x<2 or log x>3 and x>0
so 0<x<100 union x>1000



second question,
constraints 1. [x+ 0.5 ] is not equal to 0 or 1 where [ ] shows greatest integer
so minimum of greatest integer of x+0.5 =2 so minimum value of x =1.5

constraint 2. mod of (x ^ 2- x- 2) is not zero i.e  x is not 2 or -1

intersection of bth constraints shows x belongs to [3/2,infinity) -{2}