Mathematics, 31.12.2019 09:31 Joshghopper
The function for the cost of materials to make a shirt is f(x) = five sixths x + 5, where x is the number of shirts. the function for the selling price of those shirts is g(f( where g(x) = 5x + 6. find the selling price of 18 shirts
Answers: 2
![\bf \begin{cases} f(x)=\cfrac{5}{6}x+5\\\\ g(x)=5x+6 \end{cases}\qquad g(\ f(x)\ )=5[\ f(x)\ ]+6 \\\\\\ f(18)=\cfrac{5}{6}(18)+5\implies f(18)=\cfrac{5\cdot 18}{6}+5\implies f(18)=15+5 \\\\\\ \boxed{f(18)=20}\\\\ -------------------------------\\\\ g(\ f(18)\ )=5[\ f(18)\ ]+6\implies g(\ f(18)\ )=5[\ 20\ ]+6 \\\\\\ g(\ f(18)\ )=106](/tpl/images/0438/2391/0ee41.png)
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