Let f(x) = x^2 +3x - 1 and g(x) = x^3 +4x^2 +1. Find (f-g)(x)

Question

a. (f-g)(x)=-x^3 - 3x^2 +3x
b. (f-g)(x)=x^3 - 3x^2 +3x - 2
c. (f-g)(x)=--x^3 - 3x^2 +3x - 2
d. (f-g)(x)=-x^3 - 7x^2 +3x - 2

Answer 1

(f-g)(x) is just f(x)-g(x). That is easy enough:

f(x)-g(x) = (x^2+3x-1)-(x^3+4x^2+1)
= -x^3 - 3x^2 ...