Question

I need help with solving this question with the steps

Answer 1

we are given

$f(x)=\frac{x^2+5x+6}{x+3}$

Firstly , we will factor numerator numerator

$f(x)=\frac{(x+3)(x+2)}{x+3}$

we can see that both numerator and denominator has common term as x+3

so, there will be hole at x+3=0

and we know that hole is a type of discontinuity

so, discontinuity would be at

$x=-3$............Answer