For the given functions f(x) and g(x), find (f ∙ g)(x) or $ \left(\frac{f}{g}\right)(x) $ as indicated.
-$$f ( x ) = x ^ { 2 } - x - 9 , g ( x ) = x - 1$$
Find $( f \cdot g ) ( x )$.
A) $x ^ { 3 } - 2 x ^ { 2 } - 9 x + 9$
B) $x ^ { 3 } - 2 x ^ { 2 } - 10 x -$
C) $x ^ { 3 } - 2 x ^ { 2 } - 8 x + 9$
D) $x ^ { 3 } - 8 x + 9$

Question

Quizplus · Accepted Answer

$$(f \cdot g)(x) = f(x) \cdot g(x) = (x^2-x-9)(x-1) = x^3-2x^2-8x+9$$
Therefore, the answer is C, which matches the given expression.

For the Given Functions F(x) and G(x), Find (F ∙ (fg)(x) \left(\frac{f}{g}\right)(x) (gf​)(x)

For the Given Functions F(x) and G(x), Find (F ∙ $\left(\frac{f}{g}\right)(x)$