Question

Determine the values for which the rational expression is undefined:8n-5/3n + 1

Answer 1

`-(1)/(3)`

1) In this problem, to find which value makes this function undefined we need to focus on the denominator:

`(8n-5)/(3n+1)`

So focusing on the denominator let's equate that to zero, and solve it for n:

`\begin{gathered} 3n+1=0 \\ 3n+1-1=0-1 \\ 3n=-1 \\ (3n)/(3)=-(1)/(3) \\ n=-(1)/(3) \end{gathered}`

2) So, we can tell that the value that makes this rational expression is defined is

`n=-(1)/(3)`

Because if we plug that into the expression, we'll get 0 on the denominator. And divisions by 0 are undefined.