Given f(x)=3x^2+5 and g(x)=x−2 . What is (fg)(x) ? 3x^2−x+7 3x^3−6x2+5x−10 −3x^2+x−7 3x^3−10
Accepted Solution
A:
For this case we have that by definition:
[tex](fg) (x) = f (x) * g (x)[/tex]So:
[tex](fg) (x) = (3x ^ 2 + 5) (x-2)[/tex]We apply distributive property that states that:
[tex](a + b) (c + d) = ac + ad + bc + bd[/tex]In addition, we take into account that:
[tex]+ * - = -[/tex][tex](fg) (x) = 3x ^ 3-6x ^ 2 + 5x-10[/tex]Answer:
[tex]3x ^ 3-6x ^ 2 + 5x-10[/tex]Option B