briannamatthews briannamatthews
  • 13-06-2016
  • Mathematics
contestada

What is the discontinuity of the function f(x) = the quantity of x squared minus 4 x minus 12, all over x plus 2? (−6, 0) (6, 0) (−2, −8) (2, −4)

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JoshEast
JoshEast JoshEast
  • 13-06-2016
[tex]f(x) = \frac{ x^{2} - 4x - 12}{x + 2} [/tex]
The point of discontinuity is where the function is undefined; so with a fractional function if the base is zero the the function is undefined thus being the point of discontinuity.
[tex] \frac{ (-2)^{2} - 4(-2) - 12}{(-2) + 2} [/tex] = undefined

thus when x is -2 the function would be discontinuous

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cassi22702
cassi22702 cassi22702
  • 24-01-2019

Answer:

(-2,-8)

(i just took the test)


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