How do you find the domain of y =(8-x) /( x+4)?

1 Answer
Jim G.
Jul 9, 2018

x inRR,x!=-4

Explanation:

The denominator of y cannot be zero as this would make y undefined. Equating the denominator to zero and solving gives the value that x cannot be.

"solve "x+4=0rArrx=-4larrcolor(red)"excluded value"

"domain is "x inRR,x!=-4

x in(-oo,-4)uu(-4,oo)larrcolor(blue)"in interval notation"
graph{(8-x)/(x+4) [-10, 10, -5, 5]}

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