Answer:
21x+7
The value of (fog)(x) is, 21x+7
Step-by-step explanation:
Given the functions:
f(x) = 7x
g(x) = 3x+1
We have to find (fog)(x)
(fog)(x) = f(g(x))
substitute the function g(x) we have;
(fog)(x) = f(3x+1)
Replace the value of x from 3x+1 in f(x) we have;
(fog)(x) =7(3x+1)
⇒(fog)(x) = 21x+7
Therefore, the value of (fog)(x) is, 21x+7
