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

1 Answer
Jul 9, 2018

Answer:

#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]}