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  • 27-02-2019
  • Mathematics
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Determine all numbers at which the function is continuous.
Picture provided below

Determine all numbers at which the function is continuous Picture provided below class=

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Hulkk Hulkk
  • 27-02-2019

Answer:

Choice D

Step-by-step explanation:

The function will be continuous everywhere except where the function in the denominator is 0. We, therefore determine the value(s) of x for which the function will be 0;

[tex]x^{2} -6x+8=0\\x^{2} -2x-4x+8=0\\x(x-2)-4(x-2)=0\\(x-4)(x-2)=0\\x=4\\x=2[/tex]

Therefore, the points x= 2 and x =4 are points of discontinuity

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