Question

please help me:) ill give medal

What is the discontinuity of the function

Answer 1

\[f(x)= \frac{ x^2-3x-28 }{ x+4 }\]

Answer 2

same as the domain
\(x=-4\)

Answer 3

if you can factor and cancel, then it is a "removable discontinuity"

Answer 4

@satellite73 these are my choices

(-7, -14)

(7, 0)

(4, -3)

(-4, -11)

its not c

Answer 5

@phi can you help?

Answer 6

would it be d?

Answer 7

are you sure you have the correct question (and no typos?)

Answer 8

yep

Answer 9

ok, they want what x value is a discontinuity, and the associated y value
as satellite already told you, x=-4 is not allowed (because you would divide by 0 if x=-4)

However, as x gets near to -4, f(x) gets near to -11
that means (-4,-11) is what they want

Answer 10

With multiple choice all you had to do was look for x=-4 in the choices
(the answers are all (x,y) pairs)... and only one choice has x=-4

If you had two or more choices with x=-4, you would have to figure out the y value.

Answer 11

van you help me with one more?
ive narrowed it down to two

Answer 12

Can you make it a new post ?