anonymous
  • anonymous
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
find the function that has a term that cancels on top and bottom - that's a removable discontinuity
anonymous
  • anonymous
I don't get it
anonymous
  • anonymous
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.

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Directrix
  • Directrix
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
  • Directrix
c. f(x)=(5x)/(x-x²)

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