What are the values of x for which the denominator is equal to zero for y
3x-1
x² - 4x +4
? !
x
= -2
x = 2
x = 4
no points of discontinuity

x = 2

Step-by-step explanation: Since we are looking for the values of x for which the denominator is equal to zero , we will equate the denominator to zero , that is :

- 4x + 4 = 0

Factorising , we have

(x - 2 ) ( x - 2 ) = 0

that is ,

x - 2 = 0 or x - 2 = 0

Therefore :

x = 2 twice

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since both sides equal, there are infinitely many olutions.