Question

If a(x) = 3x + 1 and p(x)= x-4, what is the domain of (b•a)(x)?

Answer 1

all real numbers

Explanation:

Both a(x) and b(x) are polynomials. The set of polynomials is closed on multiplication, so (b•a)(x) will also be a polynomial. All polynomials are defined for all real numbers. The domain is the set of input values (x) for which the function is defined.

The domain of (b•a)(x) is all real numbers.