Answer:
[tex](g/f) (x) =\frac{x^2-6}{3x+1}[/tex]
Step-by-step explanation:
We have the following functions
[tex]f (x) = 3x+1[/tex]
[tex]g (x) = x^2-6[/tex]
To find [tex](g/f)(x)[/tex] we must divide the function g(x) with the function f(x)
Then we perform the following operation
[tex](g/f) (x) =\frac{x^2-6}{3x+1}[/tex]
Finally we have that:
[tex](g/f) (x) =\frac{x^2-6}{3x+1}[/tex]
For [tex]x \neq -\frac{1}{3}[/tex]
