Answer:
To find the domain of the composition function (bºa)(x), we need to consider the restrictions on the input values that ensure the function is well-defined.
The composition function (bºa)(x) means we first apply the function a(x) to the input, and then apply the function b(x) to the result.
The function a(x) = 3x + 1 does not have any restrictions on the domain. It can accept any real number as an input.
The function b(x) = x - 4 also does not have any restrictions on the domain. It can accept any real number as an input.
When we compose these functions, we apply a(x) first and then b(x). So, the domain of the composition function (bºa)(x) will be determined by the domain of a(x).
Since a(x) does not have any restrictions, the domain of (bºa)(x) will also be the set of all real numbers (-∞, +∞).