Answer:
(f-g)(x) = 2x^2 - 3x - 8
Explanation:
To find (f-g)(x), we need to subtract the function g(x) from the function f(x).
Given:
f(x) = 2x^2 - 5
g(x) = 3x + 3
To subtract g(x) from f(x), we substitute the expression for g(x) into f(x) and simplify:
(f-g)(x) = f(x) - g(x)
= (2x^2 - 5) - (3x + 3)
To simplify further, we distribute the negative sign to each term in g(x):
(f-g)(x) = 2x^2 - 5 - 3x - 3
Combining like terms, we have:
(f-g)(x) = 2x^2 - 3x - 8
Therefore, (f-g)(x) = 2x^2 - 3x - 8.