Step-by-step explanation:
Step 1: Find [tex](f \ o \ g)(x)[/tex]
What this basically means is that you substitute the equation of g(x) into the x's of the function f(x)
[tex](f \ o \ g)(x) = \frac{g(x)-1}{3}[/tex]
[tex](f \ o \ g)(x) = \frac{(3x+1)-1}{3}[/tex]
[tex](f \ o \ g)(x) = \frac{3x+1-1}{3}[/tex]
[tex](f \ o \ g)(x) = \frac{3x}{3}[/tex]
[tex](f \ o \ g)(x) =x[/tex]
Answer: Option D, [tex](f \ o \ g)(x) =x[/tex]
