Determine all values of x at which the function is discontinuous.
A)- 5
B)0, 5
C)0, - 5
D)- 3

Question

Determine all values of x at which the function is discontinuous. 
A)- 5 
B)0, 5 
C)0, - 5 
D)- 3

Quizplus · Accepted Answer

The function is discontinuous at any value of x where the denominator is equal to zero, since division by zero is undefined. Therefore, we need to find the values of x that make the denominator zero. 
The denominator is (x-5)(x+1). Thus, the values that make the denominator zero are x=5 and x=-1. Therefore, the function is discontinuous at x=5 and x=-1. 
The answer choices are given in different formats, but all of them include the value x=5, and only choice B includes both x=5 and x=0 as values of x where the function is discontinuous. Therefore, the best choice is B.

Determine All Values of X at Which the Function Is