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1. f(g(x)) = 18x³ + 1 dollars over hour

   Given: f(x) = 9x² + 1

   g(x) = √(2x³)

                                  

   Now f(g(x)) can be calculated as

   f(g(x)) = f(√(2x³))

   = 9.(√(2x³))² + 1

   = 9.2x³ + 1

   = 18x³ + 1

   Therefore, f(g(x)) = 18x³ + 1 dollars over hour

            

   Know more about “composition of functions” here:https://brainly.com/question/20379727

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   Disclaimer: The question is incomplete. The complete question is mentioned below:

   Sonia works at a bakery. The function f(x) represents the amount of money in dollars Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works.

   f(x) = 9×2 + 1

   g(x) = the square root of two times x cubed

   Find f(g(x)).

   f(g(x)) = 18×3 + 1 dollars over hour

   f(g(x)) = 18×3 + 1 loaves over hour    

   f of g of x equals the square root of the quantity 18 times x to the fifth power plus 1 loaf per hour

   f of g of x equals the square root of the quantity 18 times x to the fifth power plus 1 dollar over an hour

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