Question

Let f(x)=3x+2and g(x)=x-3. Find f(x)-g(x) and state it’s domain.

Answer 1

Subtracting functions is actually pretty easy. Think of it as just normal subtraction:

f(x) - g(x) = (3x + 2) - (x - 3)
f(x) - g(x) = 2x + 5

The domain is all real numbers, since it isn't a polynomial.

-T.B.