Answer:
The nonpermissible replacement of the variable n is -4
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{n^2}{2n+8}[/tex] has the denominator [tex]2n+8.[/tex]
This denominator cannot be equal zero, thus,
[tex]2n+8\neq 0,\\ \\n\neq -4[/tex].
