Question 60874
Let f(x)=x+5; let g(x)=X^2-2; let h(x)=-3x

1. ((f)*(g))(x) <---I think this is what you meant.
{{{(x+5)(x^2-2)}}}
{{{x(x^2-2)+5(x^2-2)}}}
{{{x^3-2x+5x^2-10}}}
{{{x^3+5x^2-2x-10}}}
:
2. h(h(5))
First find h(5)
{{{h(5)=-3(5)}}}
{{{h(5)=-15}}}
h(h(5))=h(-15)
Now substitute that value into the h function.
h(h(5))=-3(-15)
h(h(5))=45
:
3. g(h(-1))
h(-1)=-3(-1)
h(-1)=3
g(h(-1))=g(3)  Substitute 3 into the g function.
{{{g(h(-1))=(3)^2-2}}}
g(h(-1))=9-2
g(h(-1))=7
:
4. (f(4)) + (g(6)) 
{{{((4)+5)+((6)^2-2)}}}
(4+5)+(36-2)
9+34
43
:
Happy Calculating!!!