Question

Find the points of discontinuity of $f\left(x\right)=\frac{(x-1)(x+1)}{(x-7)(x-6)}$.

Answer 1

Given,

$f\left(x\right)=\frac{\left(x-1\right)\left(x+1\right)}{\left(x-7\right)\left(x-6\right)}$

Since the given function is polynomial and it is defined every when except $x=7,6$ so it is discontinuous at only $x=7,6$