How do you find the domain of f(x) = 3x + 1f(x)=3x+1?

1 Answer
Jun 25, 2018

\mathbb{R}

Explanation:

This is a polynomial, since it is written as a sum of powers of x with some coeffients: in general, a polynomial is written as a_0+a_1x+a_2x^2+...+a_nx^n

In this case, n=1, a_0=1 and a_1=3.

The domain of every polynomial is always the whole real number set, since the domain is the set of numbers where you can evaluate the function, and a polynomial simply "asks" to raise numbers to a certain power, multiply by some constant, and sum all the terms.

These operations can be performed with every number x given as input, so the domain is \mathbb{R}