Does the function have any discontinuities

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

1. Does the function

f(x)=\frac{x^{2}-8 x+15}{x^{2}-9}

have any discontinuities? If so, where and what type? (A) An essential discontinuity at

x=3

and at

x=-3

(B) A removable discontinuity at

x=3

and at

x=-3

x=3

and an essential discontinuity at

x=-3

. (D) The function is continuous for all real numbers.