The function for the cost of materials to make a shirt is f (x) = 5/6 x + 5 where x is the number of shirts. The function for the selling price of those shirts is g (f (x)), where g (x) = 5x+6. Find the selling price of 18 shirts

Find f (18)

g (f (18)) =

g (5/6 (18) + 5) =

g (15+5) =

g (20) =

5 (20) + 6=

100+6=

106

selling price is $106

The function for the cost of materials to make a shirt:

f (x) = 5/6 x + 5

f (18) = 5/6 x + 5

f (18) = 5/6 (18) + 5

f (18) = 15 + 5

f (18) = 20 or f (x) = 20

The function for the selling price of those shirts:

g (x) = 5x+6

g (18) = 5x+6

g (18) = 5 (18) + 6

g (18) = 90 + 6

g (18) = 96 or g (x) = 96