Question

find r(x) for the given equation

Answer 1

Answer: R(x) =
`(2(x+1))/(x-1)`

Step-by-step explanation: Let's being by simplifying the terms we are given (f(x) and g(x)).

`f(x) = (2(12x^2))/(2(x-1)) = (12x^2)/(x-1)`

`g(x) = (6x^2(x+5))/((x+5)(x+1)) = (6x^2)/(x+1)`

Now we divide these two :

`(12x^2)/(x-1) /(6x^2)/(x+1)`

Now we use division property :

`12x^2/6x^2 *(x+1)/(x-1)`

And we get :

`(2(x+1))/(x-1)`

That's it!