SOLUTION: For some reason I just cannot grasp the concept of the domain and range of functions. Can someone please help with this? Given f(x)=4x^2-2x-6 and g(x)=2x-3, find the domain of

Algebra ->  Functions -> SOLUTION: For some reason I just cannot grasp the concept of the domain and range of functions. Can someone please help with this? Given f(x)=4x^2-2x-6 and g(x)=2x-3, find the domain of       Log On


   



Question 137451: For some reason I just cannot grasp the concept of the domain and range of functions. Can someone please help with this?
Given f(x)=4x^2-2x-6 and g(x)=2x-3, find the domain of (f-g)(x) and the domain of (f/g)(x). Thanks!

Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
The domain of f(x) are x values where f(x) exists
f(x)=4x^2-2x-6 and g(x)=2x-3
when you have polynomial functions then domain is R (real numbers)
then domain of f,g and f-g is R
when you have f/g the problem is when g(x)=0 because you can not divide by 0
so the domain are all real numbers where g(x) is not 0
then domain of (f/g)(x) is Real numbers but not 3/2 (R-{3/2})