The discontinuity for y= x²-x-2 / 3 x²-7 x+2 is x= 1/3 and x= 2.
What is discontinuous function?
Mathematics, functions, and applications all place a premium on continuous functions. But not every function is continuous. A function is said to have a discontinuity there if it is not continuous at that point in its domain.
Given,
y = x²-x-2 / 3 x²-7 x+2
It can be expressed in the form of -
⇒ y = (x-2) (x+1) / (3x-1) (x-2)
The function will be undefined if the denominator will be 0
⇒ 3x-1 = 0
⇒ x = 1/3
⇒ x-2 = 0
⇒x = 2
So, we can conclude that the given function will be having points of discontinuity as x = 2, 1/3
To learn more about discontinuity from given link
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