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