Question

Select the correct answer

Answer 1

Answer: OPTION C.

Step-by-step 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)$$=\frac{2x^2-x-6}{x^2-4}$

Factorizing and simplifying, we get:

$f(x)$÷$g(x)$$=\frac{(2x+3)(x-2)}{(x+2)(x-2)}$

$f(x)$÷$g(x)$$=\frac{2x+3}{x+2}$