Question

Find the nonpermissible replacement for y in this expression. 3/-5y

Answer 1

Answer: The non-permissible replacement for this expression is y = 0.

In math, we cannot divide by 0. It is not allowed. Therefore, in this problem, we cannot divide be 0. 

In other words, the denominator can't be 0.

So we can write and solve the following equation to determine what would make the denominator 0.

-5y = 0   Divide by -5
y = 0

Y cannot be 0 in this expression.

Answer 2

We have that
(3/-5y)

we know that
zero in the denominator is NOT allowed
y = 0 is the non permissible replacement for y in this expression
the domain of this expression is all y value real numbers except the value of y=0

domain is (-∞,0) ∩ (0,∞)

the answer is 
y=0