Hello, I am trying to find the domain of the vector function:
I know that for we have ,
So I thought the domain was from [-12,0,]U[0,18] but it isn't correct.
What am I doing wrong?
Thanks,
Matthew
In order that "x" be in the domain, all of those functions must be defined so the domain is the intersection of the domains of those individual functions, NOT the union. The domain of ln(7t) is t> 0 (NOT " "- ln(0) is not defined). The domain of requires that and the intersection of those is still t> 0. The domain of is t< 19 (NOT " ! t= 18.999999 is perfectly good.) and the intersection of t> 0 and t< 19 is (0, 19).