How do you find the domain of #f(x) = (x+7)/(x^2-4)#?

1 Answer
Jim G.
May 8, 2018

#(-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^2=4#

#rArrx=-2,x=2larrcolor(red)"excluded values"#

#rArr"domain "(-oo,-2)uu(-2,2)uu(2,oo)#
graph{(x+7)/(x^2-4) [-10, 10, -5, 5]}

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