What is (f⋅g)(x)?
f(x)=x^2+2x−6
g(x)=x^4+3
What is (f−g)(x)?
f(x)=x^3−2x^2+12x−6
g(x)=4x^2−6x+4
+9466 What is (f ⋅ g)(x) ?
f(x) = x2 + 2x - 6
g(x) = x4 + 3
(f ⋅ g)(x) = f(x) ⋅ g(x) Substitute (x2 + 2x - 6) in for f(x) and substitute (x4 + 3) in for g(x)
(f ⋅ g)(x) = (x2 + 2x - 6) ⋅ (x4 + 3)
(f ⋅ g)(x) = (x2 + 2x - 6)(x4 + 3)
If you need to, you can expand the right side of the equation.
+9466 What is (f - g)(x) ?
f(x) = x3 - 2x2 + 12x - 6
g(x) = 4x2 - 6x + 4
(f - g)(x) = f(x) - g(x) Substitute (x3 - 2x2 + 12x - 6) in for f(x) and substitute (4x2 - 6x + 4) in for g(x)
(f - g)(x) = (x3 - 2x2 + 12x - 6) - (4x2 - 6x + 4)
(f - g)(x) = (x3 - 2x2 + 12x - 6) - (4x2 - 6x + 4)
If you need to, you can simplify this by distributing the -1 outside the parenthesees and combining like terms.
