Question

Find all numbers for which this rational expression is undefined. t^3-9t/t^2-36

Answer 1

6, -6

Answer 2

division by zero is undefined
hence, when the denominator is zero this expression is undefined
set the denominator equal to zero:
t^2-36=0
and solve for t

Answer 3

When the denominator equal to 0, make the rational undefined:
t^2-36 = 0 --> t = ±sqrt (36) = ± 6
Thus the function is undefined at 2 points t = 6, t = -6