Answer:
[tex]g(f(h)) = 845h^2 + 2600h + 100[/tex]
Step-by-step explanation:
*The function g(b) shows the cost per b produced skateboards.
*The function f(h) tells us the number of skateboards produced as a function of time.
To find a function that shows the manufacturing cost of skateboards produced as a function of the number of hours we must find g(f(h)).
That is, we must introduce the function f(h) within the function g(b), making b = f(h)
So:
[tex]g(f(h)) = 0.008(f(h))^2 + 8(f(h)) + 100\\\\g(f(h)) = 0.008(325h)^2 + 8(325h) + 100[/tex]
Finally, the function wanted is:
[tex]g(f(h)) = 845h^2 + 2600h + 100[/tex]
