what is the non-permissible value for the rational expression y + 5 / x - 3?

a) x = 0
b) x = 3
c) y = 3
d) y = 0

b

One cannot divide by zero. Which value makes the denominator zero?

nope. b is the right answer.

To find the non-permissible value for a rational expression, we need to identify the values that would make the denominator equal to zero. This is because division by zero is undefined in mathematics.

In the given rational expression, the denominator is x - 3. To find the non-permissible value, we need to set the denominator equal to zero and solve for x:

x - 3 = 0

To solve this equation, we can add 3 to both sides:

x = 3

So, the value x = 3 would make the denominator zero, and therefore, x = 3 is the non-permissible value for the rational expression y + 5 / x - 3.

Therefore, the correct answer is Option b) x = 3.