don't have a good teacher. need to understand how if can solve to figure out if this is undefined

t-3/3-5

it is undefined it you try to divide by zero. Dividing by zero is UNDEFINED.

I don't see a zero division there, but am not certain what it is without parenthesis.

is this what you are saying......... (t-5)/(3-t)..i need to list the numbers for which the rational expression is undefined.

with that, then t=3 is undefined; the denominator is zero.

To determine if the expression (t - 3)/(3 - 5) is undefined, we need to consider the denominator. In this case, the denominator is (3 - 5), which is equal to -2.

In mathematics, division by zero is undefined. Since the denominator is -2 and not zero, we can proceed with the calculation.

Now, to solve the expression, we can simplify it by performing the subtraction in both the numerator and the denominator:

(t - 3)/(3 - 5) = (t - 3)/(-2)

This simplification cannot be reduced further, so the expression (t - 3)/(-2) is defined for any value of t.