# How do you find the domain of #g(x)=6/(9-5x)#?

##### 2 Answers

Aug 3, 2018

#### Explanation:

The denominator of g(x) cannot be zero as this would make g(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

#"solve "9-5x=0rArrx=9/5larrcolor(red)"excluded value"#

#"domain is "x inRR,x!=9/5#

#(-oo,9/5)uu(9/5,oo)larrcolor(blue)"in interval notation"#

graph{6/(9-5x) [-10, 10, -5, 5]}

Aug 3, 2018

#### Explanation:

The only thing that will make

The value

We can even see this graphically, as we have a vertical asymptote at

graph{6/(9-5x) [-10, 10, -5, 5]}

Hope this helps!