Answer:
The answer is: [tex]\frac{x^2-5}{4x+1}[/tex]
Step-by-step explanation:
We are given: [tex]f(x)=4x+1[/tex] and [tex]g(x) = x^2-5[/tex]
We need to find [tex](g/f)(x)[/tex].
Simply divide [tex]g(x)[/tex] and [tex]f(x)\\[/tex].
Which equates to:
[tex](g/f)(x)= \frac{g(x)}{f(x)} =\frac{x^2-5}{4x+1}[/tex]
This cannot be simplified further, so it is the answer.