If f(x)=2x^2-5 and g(x)=3x+3 find (f-g)(x)

Answer 1

To find (f-g)(x), you need to subtract g(x) from f(x):

(f-g)(x) = f(x) - g(x)

Given:
f(x) = 2x^2 - 5
g(x) = 3x + 3

Substitute into the formula:
(f-g)(x) = (2x^2 - 5) - (3x + 3)

Perform the subtraction:
(f-g)(x) = 2x^2 - 5 - 3x - 3

Combine like terms:
(f-g)(x) = 2x^2 - 3x - 8

Therefore, (f-g)(x) = 2x^2 - 3x - 8.