Answer
inside: g(x)=$3.2x+5.7$
outside: f(g)=$g^5$
derivative: f'(x)=$5\times3.2\times (3.2x+5.7)^4=16(3.2x+5.7)^4$
Work Step by Step
Use the chain rule to take the derivative $\frac{df(g(x))}{dx}=f'(g(x))g'(x)$
To find the inside, you take the function inside the parenthesis.
To find the outside, you exchange the parenthesis to a variable.
Then take its derivative and put it together.