How do you find the domain of f(x) = 6/( x-4)?

1 Answer
Jim G.
Apr 27, 2018

x inRR,x!=4

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 value that x cannot be.

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

rArr"domain "x inRR,x!=4

x in(-oo,4)uu(4,oo)larrcolor(blue)"in interval notation"
graph{6/(x-4) [-10, 10, -5, 5]}

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