mrwashington87 mrwashington87
  • 15-03-2020
  • Mathematics
contestada

Is the function given below continuous at x = 9? Why or why not?
f(x) = 3x - 9

Respuesta :

gmany
gmany gmany
  • 15-03-2020

Answer:

YES

Step-by-step explanation:

Yes, because the limit on the left and the limit on the right is equal to the value at a given point.

[tex]\lim\limits_{x\to9^-}f(x)=\lim\limits_{x\to9^+}f(x)=f(9)[/tex]

[tex]f(x)=3x-9\\\\\lim\limit_{x\to9^-}(3x-9)=3(9)-9=27-9=18\\\\\lim\limit_{x\to9^+}(3x-9)=3(9)-9=27-9=18\\\\f(9)=3(9)-9=27-9=18[/tex]

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