Find the nonpermissible replacement for n in the following expression : -8/5n

We are given expression

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

Divide both sides by 5

so, we get

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

The correct answer is

This is testing your knowledge on domain of rational functions.

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

should not be equal to zero.

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

We can now solve for n, to obtain,

Hence that number is

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step-by-step explanation: