Question

For f (x) = 4 x +1 and g(x) = x^2- 5, find (g/f)(x)

Answer 1

The answer is:
`(x^2-5)/(4x+1)`

Explanation:

We are given:
`f(x)=4x+1` and
`g(x) = x^2-5`

We need to find
`(g/f)(x)`.

Simply divide
`g(x)` and
`f(x)\\`.

Which equates to:

`(g/f)(x)= (g(x))/(f(x)) =(x^2-5)/(4x+1)`

This cannot be simplified further, so it is the answer.