Final answer:
The composition of two functions can be found by substituting one function into the other and simplifying.
Step-by-step explanation:
The composition of two functions, g and f, denoted as (g ◦ f), is a new function formed by applying one function after the other. In this case, g(x) = 10x - 3 and f(x) = 4x + 8.
To find (g ◦ f), we substitute the expression of f(x) into g(x):
(g ◦ f)(x) = g(f(x)) = g(4x + 8) = 10(4x + 8) - 3 = 40x + 80 - 3 = 40x + 77.