Question

How would I go about finding the domain of f(x)=log(x^2-4)+sqrt(6-2x)?

Answer 1

So first off, what is the domain of the square root? And of log?

Answer 2

from log(x^2-4)-------x>4 & x<-4
from sqrt(6-2x)-------x<=3
now taking intersection of both x<-4 is the answer