Question

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

Answer 1

Choice D

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;

`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`

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