Answer:
The nonpermissible replacement of the variable s is -7
Step-by-step explanation:
The nonpermissible replacement of the variable in a certain expression is the value of the variable that will make the denominator of the expression zero.
The expression [tex]\dfrac{s-5}{s+7}[/tex] has the denominator [tex]s+7.[/tex]
This denominator cannot be equal zero, thus,
[tex]s+7\neq 0,\\ \\s\neq -7.[/tex]
