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

1 Answer
Apr 27, 2018

Answer:

#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]}