Question

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(x)), where g(x) = x + 2. Find the selling price of 10 hats. A. 6 b. 8 c. 10 d. 12

Answer 1

f ( x ) = 1/2 x + 1
g ( x ) = x +2
g ( f ( x ) ) = g ( 1/2 x +1 ) = 1/2 x +1 + 2 = 1/2 x + 3
g ( f ( 10 ) ) = 1/2 * 10 + 3 = 5 + 3 = 8
Answer: B ) 8