Question

Select the correct answer.
If f(x) = 2x²-x-6 and g(x) = x2 - 4, find f(x) + g(x).

Answer 1

C. (2x+3)/(x+2)

Explanation:

You want the expression representing f(x)/g(x) where f(x) = 2x² -x -6 and g(x) = x² -4.

Simplify

The ratio of the functions can be simplified by canceling common factors.

`(f(x))/(g(x))=(2x^2-x-6)/(x^2-4)=((x-2)(2x+3))/((x-2)(x+2))=\boxed{(2x+3)/(x+2)}\qquad\text{matches choice C}`

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