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

##### 1 Answer

May 14, 2018

#### 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)#

graph{3/(5-7x) [-10, 10, -5, 5]}