f • g denotes the product of f and g, so that
[tex](f\cdot g)(x)=f(x)\cdot g(x)=(3x-8)(-2x+5)[/tex]
Without computing the whole product, just look at the first terms, [tex]-6x^2[/tex]. This tells you that f • g is quadratic, and its graph is a stretched parabola that opens downward.
You can treat the product g • s similarly:
[tex](g\cdot s)(x)=(-2x+5)(4x^2-9x+2)[/tex]
The leading term is [tex]-8x^3[/tex], so the graph should resemble a stretched cubic curve reflected across the x axis.
