Question

Select the correct answer

Answer 1

Answer: OPTION C.

Explanation:

Given the functions:

`f(x)=2x^2-x-6\\\\g(x)=x^2-4`

We need to divide f(x) by g(x) in order to find
`f(x)`÷
`g(x)`. Then:

`f(x)`÷
`g(x)`
`=(2x^2-x-6)/(x^2-4)`

Factorizing and simplifying, we get:

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

`f(x)`÷
`g(x)`
`=(2x+3)/(x+2)`