Question

Find the domain where the function f is continuous. Also find the numbers at

which the function f is discontinuous, where () =

{

1 +

2

; ≤ 0

2 − ; 0 < ≤ 2

( − 2)

2

; > 2

.​

Answer 1

Answer:

Start by factoring the numerator and denominator of the function. A point of discontinuity occurs when a number is both a zero of the numerator and denominator. Since is a zero for both the numerator and denominator, there is a point of discontinuity there. To find the value, plug in into the final simplified equation.