Find all the numbers for which the rational expression is undefined

s^3-6x/ s^2-9
Thanks for the help

an undefined situation arises if one attempts to divide by zero.

So I toss the question back to you,
for what values of s is (s^2 - 9) equal to zero ?
(hint: there are two of them)

The two values are s=3,-3 is this the right values?

To determine the values for which the rational expression is undefined, we need to find the values of s that would make the denominator equal to zero. This is because dividing by zero is undefined in mathematics.

The expression in the denominator is s^2 - 9. To find the values that would make it equal to zero, we can set the denominator equal to zero and solve for s:

s^2 - 9 = 0

To solve this quadratic equation, we can factor it as the difference of squares:

(s - 3)(s + 3) = 0

By setting each factor equal to zero, we get two equations:

s - 3 = 0 --> s = 3
s + 3 = 0 --> s = -3

Therefore, the rational expression is undefined for s = 3 and s = -3, as these values would make the denominator zero.