Question

Let f(x)=x² 9x 20 and g(x)=x³-4x . Find (fg)(x) and ({f}/{g})(x) .

A) (f ⋅ g)(x) = x⁵ - 5x³ - 36x² + 20x and ({f}/{g})(x) = {x⁵ - 5x³ - 36x² + 20x}/{x³ - 4x}
B) (f ⋅ g)(x) = x⁵ - 5x³ - 36x² + 20x and ({f}/{g})(x) = {x⁵ + 5x³ - 36x² + 20x}/{x³ - 4x}
C) (f ⋅ g)(x) = x⁵ + 5x³ - 36x² - 20x and ({f}/{g})(x) = {x⁵ - 5x³ - 36x² + 20x}/{x³ - 4x}
D) (f ⋅ g)(x) = x⁵ + 5x³ - 36x² - 20x and ({f}/{g})(x) = {x⁵ + 5x³ - 36x² + 20x}/{x³ - 4x}