Question

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

Answer 1

`\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}`