Consider the function Determine whether f is continuous at x

Consider the function Determine whether f is continuous at x = 4. If not, is f continuous from the right or from the left at x = 4? Justify your answers.

Solution

(x-4)(x-1)/(x-4)
x-1
value at 4^-= 3

value at 4⁺=3

value at 4=2

so, it is discontinous function