Respuesta :

We are given expression

[tex]\frac{-8}{5n}[/tex]

we know that

this is rational expression

And any rational expression is undefined when it's denominator =0

so, for finding non-permissible values of n , we set denominator =0

and then we can solve for n

denominator is 5n

[tex]5n=0[/tex]

Divide both sides by 5

[tex]\frac{5n}{5} =\frac{0}{5}[/tex]

so, we get

[tex]n=0[/tex]

So, the non-permissible replacement for n in this expression is 0.........Answer

kudzordzifrancis

The correct answer is

[tex]n=0[/tex]


[tex] EXPLANATION [/tex]



This is testing your knowledge on domain of rational functions.


To avoid division by zero, the denominator of the rational function


[tex]\frac{-8}{5n}[/tex]


should not be equal to zero.



Therefore the non permissible number can be found by equating the whole denominator to zero. That is,



[tex]5n=0[/tex]



We can now solve for n, to obtain,




[tex]n=\frac{0}{5}=0[/tex]



Hence that number is


[tex]n=0[/tex]




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