For what value(s) of x is the expression undefined? f(x)=x+6/x^2+5x+6

Question

Algebra Rational Functions

Answer 1

f(x) = (x+6)/(x^2+5x +6) is undefined when the denominator = 0

x^2 +5x + 6 =0

(x+3)(x+2) =0

x =-2 or -3 makes f(x) undefined

UNLESS you really meant x +(6/x^2) +5x+6 = 6x + 6 + 6/x^2

then x^2 =0 and x=0 makes f(x) undefined.