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

1 Answer
Jun 25, 2018

Answer:

#\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}#