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

$\frac{-8}{5n}$

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,

$n=\frac{0}{5}=0$

Hence that number is

$n=0$

Answer 2

We are given expression

$\frac{-8}{5n}$

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

$\frac{5n}{5} =\frac{0}{5}$

so, we get

$n=0$

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