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

1 Answer
Gió
Apr 12, 2015

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.

graph{(x-3)/(x^4+1) [-10, 10, -5, 5]}

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