We want to find the value of the rational expression when m = -7.
[tex]\frac{3m+4}{m^2+4m-5}\text{ when m=-7}[/tex]
We basically just substitute -7 for m in the expression.
[tex]\begin{gathered} \frac{3(-7)+4}{(-7)^2+4(-7)-5}=\frac{-21+4}{49-28-5} \\ =\frac{-17}{16} \end{gathered}[/tex]
Therefore, the value of that expression at m = -7 is -17/16
