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

Answer 1

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

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#.

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Answer 2

Chloe Alexander

The domain of the function (f(x) = 4x^2 - x - 3) is all real numbers since it is a polynomial function, and polynomials are defined for all real numbers.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.