If a (x) = 3x + 1 and b (x) =

x-4, what is the domain of (bºa) (x) ?

All real numbers

Step-by-step explanation:

Given the two functions

a (x) = 3x + 1 and b (x) = x - 4

The composition (boa) (x) is the same as:

b (a (x)) = (a (x)) - 4 = (3x + 1) - 4 = 3x + 1 - 4 = 3x - 3

This is still a linear function and therefore its domain is all real numbers (we can find a y value given any real number x)