Question

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

Answer 1

`(-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]}