Given that f(x) = x – 2 and g(x) = x2 + 3x – 4, find (f – g)(x).

(f-g)(x) = -x^2 - 2x +2.

Step-by-step explanation:

(f-g)(x)=f(x) - g(x)=  (x-2)-(x^2+3x-4)

= x-2 -x^2 -3x +4

= -x^2 - 2x +2.

Then , the answer is (f-g)(x)= -x^2 - 2x +2.

Hope that you understand.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3