Which graph represents the function of f(x) = the quantity of 4 x squared minus 16, all over 2 x minus 4

Question

anonymous · Answer

$$4x^2-16/2x-4$$

anonymous · Answer

@campbell_st

anonymous · Answer

I have answer choices but don't know how to attach them...
they are images of graphs

campbell_st · Answer

well the numerator is the difference of 2 squares one option it to graph it using https://www.desmos.com/calculator another is look look at what value of x in the denominator can't you have...? factor the numerator $$\frac{(2x - 4)(2x + 4)}{2x - 4}$$ perhaps this may help

anonymous · Answer

alright so I see you expanded the numerator into two binomials, can u show me the next step?

campbell_st · Answer

well what is the common factor..?