Answer
$(F\cdot G)(a) = -a^3+5a^2+2a-10$
Work Step by Step
RECALL:
$(F\cdot G)(x) = F(x) \cdot G(x)$
Using the formula above gives:
$(F\cdot G)(x)
\\= F(x)\cdot G(x)
\\=(x^2-2)\cdot (5-x)
\\=x^2(5)-x^2(x)-2(5)-(2(-x))
\\=5x^2-x^3-10+2x
\\=-x^3+5x^2+2x-10$
To find $(F\cdot G)(a)$, substitute $a$ to $x$ in the equation above to obtain:
$(F\cdot G)(x) = -x^3+5x^2+2x-10
\\(F\cdot G)(a) = -a^3+5a^2+2a-10$
