Question

?

Answer 1

try factoring each function as much as possible

then see which function has a term that can be crossed out

for example:

if your factored form ends up like

f(x) = (A*B)/(A) you can cancel out the A and get B, producing a function with a removable discontinuity

hope that makes sense

Answer 2

so c?

Answer 3

when you factor 5x/(1-x^2) is there anything that can be cancelled out between the numerator/denominator?

Answer 4

no not really

Answer 5

A?

Answer 6

I'm confused>

Answer 7

when you factor A you get

x/(x-2)(x+1)

^ is there anything that can be cancelled out between the numerator/denominator?

Answer 8

x?

Answer 9

notice how x is only in the numerator
the (x-2) and (x-1) cannot be cancelled out

Answer 10

try factoring D and see what you get

Answer 11

good, and do you see anything that can be cancelled out?

Answer 12

x+1

Answer 13

awesome, so (x+1) can be cancelled out, leaving a removable discontinuity at x = -1

so D is the answer