Which function has a removable discontinuity?

a. g(x)=(2x-1)/(x)
b. p(x)=(x+2)/(x²-x-2)
c. f(x)=(5x)/(x-x²)
d. h(x)=(x²-x+2)/(x+1)

Question

Which function has a removable discontinuity?

a. g(x)=(2x-1)/(x)
b. p(x)=(x+2)/(x²-x-2)
c. f(x)=(5x)/(x-x²)
d. h(x)=(x²-x+2)/(x+1)

anonymous · Answer

find the function that has a term that cancels on top and bottom - that's a removable discontinuity

anonymous · Answer

I don't get it

anonymous · Answer

look at the factors of the top and bottom. for example  j(x) = (x+2)(x+3) / (x+3) would have a "removable discontinuity" . So would k(x) = (15x²) / (2x²-3x) because you can factor out x on the bottom.

directrix · Answer

Discontinuities for which the limit of f(x) exists and is finite are called removable discontinuities for reasons explained below. http://oregonstate.edu/instruct/mth251/cq/Stage4/Lesson/removable.html

directrix · Answer

c. f(x)=(5x)/(x-x²)