Question

Let f(x) = x ^ 3 - x ^ 2 - 5x - 3 and g(x) = x + 3 3. Find (f/g)(x) . a .) x ^ 2 - 4x + 7R - 24

b .) x ^ 2 - 4x + 7
C.) x ^ 2 - 4x - 7R - 24
d.) x ^ 2 - 4x + 7x

Answer 1

`((f)/(g))(x) = (\left(x+1\right)^2\left(x-3\right))/(x + 3)`

Explanation:

The question is not properly formatted.

Given

`f(x) = x^3 - x^2 - 5x - 3`

`g(x) =x + 3`

Required

`((f)/(g))(x)`

This is calculated as:

`((f)/(g))(x) = (f(x))/(g(x))`

So, we have:

`((f)/(g))(x) = (x^3 - x^2 - 5x - 3)/(x + 3)`

Factorize the numerator: using a calculator

`((f)/(g))(x) = (\left(x+1\right)^2\left(x-3\right))/(x + 3)`