Answer:
(fog)(x) = 25x - 23
Step-by-step explanation:
- f(x) = 5x - 3
- g(x) = 5x - 4
(fog)(x) = f(g(x))
This is an example of a composite function.
Simply substitute g(x) for x into the function f(x) and simplify.
f(g(x)) = f(5x - 4)
- f(5x - 4) = 5(5x - 4) - 3
Distribute 5 inside the parentheses.
Combine like terms.
(fog)(x) = 25x - 23
