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well, first start by factoring the numerator
|dw:1440350088787:dw| Thats what it looks like
im not sure how to factor the top
you know @jcoury you don't have to do all that work
all the x values are different in the choices just find when the bottom is zero
yeah but that is -4 but look at the answer choices
there is only one choice with x as -4
you don't need to find y
yep that is the only choice that has x as -4
if you want to find the y-coordinate you can factor the top and cancel out the common factor of (x+4) after so then plug in x as -4 to find the corresponding y value is -11
that us ut
it might be good practice to do so
can u help with one more @freckles
What is the discontinuity and zero of the function f(x) = the quantity of 2 x squared plus 5 x minus 12, all over x plus 4?
Discontinuity at (−4, −11), zero at (three halves , 0) Discontinuity at (−4, −11), zero at (negative three halves , 0) Discontinuity at (4, 5), zero at ( three halves , 0) Discontinuity at (4, 5), zero at (negative three halves , 0)
so to find the 0 find when the top is 0 that is solve 2x^2+5x-12=0
ok but one of those is where you have a discontinuity (a hole in this case) and the other is where you have a zero
So can't you just find the answer now without the y's so it would be A?
that is right a hole at x=-4 and a zero at x=3/2
is that the same question you just asked and I said yes "that is right"
yes just making sure because this is an online course and there can be alot of bugs so i wanted to make sure sorry
is it okay if i tag you in another question?