1.
What is (f−g)(x)?
f(x)=x^4−x^2+9
g(x)=x^3+3x^2+12
(f−g)(x)=
2.
What is (f⋅g)(x)?
f(x)=x4−9
g(x)=x3+9
(f⋅g)(x)=
Thanks so much!
+9466 1.
(f - g)(x) = f(x) - g(x)
(f - g)(x) = (x4 - x2 + 9) - (x3 + 3x2 + 12)
(f - g)(x) = x4 - x2 + 9 - x3 - 3x2 - 12
(f - g)(x) = x4 - x3 - 4x2 - 3
2.
(f ⋅ g)(x) = f(x) ⋅ g(x)
(f ⋅ g)(x) = (x4 - 9) ⋅ (x3 + 9)
(f ⋅ g)(x) = (x4 - 9)(x3 + 9)
(f ⋅ g)(x) = (x4)(x3) + (x4)(9) + (-9)(x3) + (-9)(9)
(f ⋅ g)(x) = x7 + 9x4 - 9x3 - 81
