What is the domain of #3/(5-7x)#?

1 Answer
Jim G.
May 14, 2018

#(-oo,5/7)uu(5/7,oo)#

Explanation:

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

#"solve "5-7x=0rArrx=5/7larrcolor(red)"excluded value"#

#"domain is "x in(-oo,5/7)uu(7/5,oo)#

#"note that the curved brackets " ( )" indicate that x cannot "#
#"equal these values but can equal the values between them"#
graph{3/(5-7x) [-10, 10, -5, 5]}

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