How do you find the domain of the function #4/ (x^2-4)#?

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Answer 1 · 2018-04-13T13:41:46

the domain is all real x except when #x=+-2#

For the domain, look at the denominator. For fractions, the denominator cannot equal to zero as this is considered undefined

ie #x^2-4 !=0#

SO to find where it equal to zero, you say

#x^2-4=0#

#x=+-2#

Therefore, the domain is all real x except when #x=+-2#