What is the domain of #4x^2-x-3# ?

1 Answer
Mar 29, 2017

The domain of #4x^2-x-3# is the whole of #RR#, that is #(-oo, oo)#.

Explanation:

Any polynomial in #x# is well defined for any real value of #x#.

The domain could actually be any set of numbers (or certain other algebraic objects), but conventionally it is often assumed that the intended domain is the maximal subset of #RR# for which the function is defined.

So conventionally, the domain of #4x^2-x-3# is the whole of #RR#.