find any points of discontinuity for y = x-3/x^2- 1 a) none b) x = -1 c) x = -1, x = 1 d) x = 1, x = 3

Question

 find any points of discontinuity for y = x-3/x^2- 1

a) none

b) x = -1

c) x = -1, x = 1

d) x = 1, x = 3

Answer 1

I AM SURE THAT THIS QUESTION REALLY IS ABOUT A RATIONAL ALGEBRAIC FUNCTION WHICH SHOULD HAVE BEEN PRESENTED TO US AS f(x) = (x-3) / (x²-1) ... parentheses REQUIRED for proper PEMDAS evaluations.

 

with that correction, note that x = ±1 are vertical asymptotes (these x values are not in the domain of f). 

 

Answer: c.