Question

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

Answer 1

`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]}