Question

What is (f−g)(x)? Enter your answer in the box.

Answer 1

(f-g) (X) = f(X) -g(X) = x^4-x^2+9-x^3-3x^2-12

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

Answer 2

(f -g)(x) = f(x) -g(x)
  = (x^4 -x^2 +9) -(x^3 +3x^2 +12)
  = x^4 -x^2 +9 -x^3 -3x^2 -12
  = x^4 -x^3 +x^2*(-1 -3) +(9 -12)
  = x^4 -x^3 -4x^2 -3

$(f-g)(x)=x^{4}-x^{3}-4x^{2}-3$