Question

Find the nonpermissible replacement for N in the following expression :

-8/5n

Answer 1

The correct answer is

`n=0`

`EXPLANATION`

This is testing your knowledge on domain of rational functions.

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

`(-8)/(5n)`

should not be equal to zero.

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

`5n=0`

We can now solve for n, to obtain,

`n=(0)/(5)=0`

Hence that number is

`n=0`

Answer 2

We are given expression

`(-8)/(5n)`

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

`5n=0`

Divide both sides by 5

`(5n)/(5) =(0)/(5)`

so, we get

`n=0`

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