Question

What graph represents the function of f(x) = the quantity of 9 x squared minus 36, all over 3 x plus 6?

Answer 1

@Hero

Answer 2

@Loser66

Answer 3

@hartnn

Answer 4

@AccessDenied

Answer 5

"What graph" do we have options for graphs here? If so, it would be good to at least sketch them here!

Answer 6

@AccessDenied

Answer 7

Alright. So what we could do is possibly factor the numerator here. Do you know difference of square factoring?
\( \displaystyle f(x) = \dfrac{\color{blue}{9x^2 - 36}}{3x + 6} \)
That numerator seems to be a difference of two squares, so we might factor with:
a^2 -b^2 = (a - b)(a + b)