Final answer:
To find f(x) - g(x), subtract function g(x) from function f(x) and simplify the expression to obtain the resulting polynomial.
Step-by-step explanation:
To find f(x) - g(x), we subtract the function g(x) from the function f(x). So, we have:
f(x) - g(x) = (x² - 5x - 36) - (x - 9)
Simplifying the expression, we get:
f(x) - g(x) = x² - 5x - 36 - x + 9
f(x) - g(x) = x² - 6x - 27
Learn more about Polynomial subtraction