# How do you find the domain of this rational function: G(x) = (x-3)/(x^4+1)?

As this is a rational function we want to be sure that the denominator is diferent from zero, but in this case the denominator will never become zero regardless of the value (real) of $x$. In fact, even if you choose a negative $x$ the $4$ power will change it into positive that will add to 1 to give a value diferent from zero!
So the domain is all the real $x$.