What is the domain of #f(x)=(x+4)/(x^2-4) #?

1 Answer
Apr 21, 2018

Answer:

#x in(-oo,-2)uu(-2,+2)uu(+2,oo)#

Explanation:

#" the denominator of "f(x)" cannot be zero as this"#
#"would make "f(x)" undefined. Equating the denominator"#
#"to zero and solving gives the values that x cannot be"#

#"solve "x^2-4=0rArrx=+-2larrcolor(red)"excluded values"#

#"domain is "(-oo,-2)uu(-2,+2)uu(+2,oo)#
graph{(x+4)/(x^2-4) [-10, 10, -5, 5]}