Algebra mathematics

Question

f(x)=x²−4 and g(x)=x+2

Find (f/g) (x). Simplify your answer

Answer 1

Hey Gyo O

It simplifies to x - 2

Do you want to find f(x) divided by g(x)? If that is so then see below:

(x²-4)/(x+2) = f(x)/g(x)

The numerator can be factored because it is the difference between two perfect squares, you can look this up in your text or online.

(x² - 4) = (x - 2)(x + 2) so

(x² - 2)/(x +2) = (x - 2)(x + 2)/(x +2)

(x + 2) is in both the numerator and denominator and cancels out we are left with

(x - 2)

I hope you find this useful if I have misinterpreted your question please let me know.