You.
sonia works at a bakery. the function f(x) represents the amount of money 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. show all work to find f(g( and explain what f(g(x)) represents.
f(x) = 9x^2 + 1
g(x) = √2x^3

See explanation

Step-by-step explanation:

y=g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works;

z=f(y) represents the amount of money Sonia earns per loaf, where y is the number of loaves she makes,

so

z=f(g(x)) represents the amount of money Sonia earns per loaf, where x is the number of hours she works.

Now

so

Step-by-step explanation:

Since we have given that

We need to find the f(g(x)).

Here, f(x) denotes the amount of money that she earns per loaf and x is the number of loaves she makes,

and,

g(x) denotes the number of bread loaves she bakes per hour and x is the number of hours she works.

So, our composition would be

Hence,