Question

Find f(g(x)). f(g(x)) = 18x3 1 dollars over hour f(g(x)) = 18x3 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 loaves per hour f of g of x equals the square root of the quantity 18 times x to the fifth power plus 1 dollars over hour

Answer 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

         

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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) = 9x2 + 1

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

Find f(g(x)).

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

f(g(x)) = 18x3 + 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