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

Jun 25, 2018

#### Answer:

$\setminus m a t h \boldsymbol{R}$

#### 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 ${a}_{0} + {a}_{1} x + {a}_{2} {x}^{2} + \ldots + {a}_{n} {x}^{n}$

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 $\setminus m a t h \boldsymbol{R}$