SOLUTION: Find all numbers for which the rational expression is undefined. (use a comma to separate answers)
(t^3-4t)/(t^2-36)
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Question 398024: Find all numbers for which the rational expression is undefined. (use a comma to separate answers)
(t^3-4t)/(t^2-36)
Found 2 solutions by stanbon, richard1234:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all numbers for which the rational expression is undefined. (use a comma to separate answers)
(t^3-4t)/(t^2-36)
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The denominator cannot be zero.
Solve t^2-36 = 0
(t-6)(t+6) = 0
t = 6 or t = -6
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Domain: All Real numbers except t=6 or t=-6
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Cheers,
Stan H.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The expression is undefined when it equals z/0 for nonzero z (if z is zero then the expression is said to be indeterminate).
Therefore we set and find the values of t. We see that 6 and -6 are the two values that make the expression undefined.
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