Final answer:
To find (g-f)(x), you subtract f(x) from g(x). After performing the subtraction, the result is (g-f)(x) = -x² + 3x - 3. There are online calculators that can help with such computations and graphing.
Step-by-step explanation:
To find (g-f)(x), you need to subtract the function f(x) from the function g(x). The given functions are g(x) = 3x + 1 and f(x) = x² + 4. Let's perform the subtraction:
(g-f)(x) = g(x) - f(x)
(g-f)(x) = (3x + 1) - (x² + 4)
(g-f)(x) = 3x + 1 - x² - 4
(g-f)(x) = -x² + 3x - 3
So the resulting function after subtracting f(x) from g(x) is -x² + 3x - 3. Regarding a calculator type site, there are various online tools such as graphing calculators and algebraic computation sites that can assist with this type of problem, where you can enter these functions to visualize or calculate the result.