The function for the cost of materials to make a hat is f(x) = one half x + 1, where x is the number of hats. the function for the selling price of those hats is g(f( where g(x) = x + 2. find the selling price of 10 hats.

Here we're dealing with a "composite function," where the input to one function (g) is another function (f).

Given that g(x) = x + 2. We need to find the value of this function when the input is the other function: f(x) = (1/2)x + 1. Making these substitutions, we get g(f(x)) = [(1/2)x + 1] + 2.

The selling price of 10 hats is now found by replacing x with 10:

g(f(10)) = [(1/2){10} + 1] + 2

= [5+1] + 2 = 6 + 2 = 8 cost units (answer)

where's the diagrams?

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step-by-step explanation: