SOLUTION: Find all numbers for which the rational expression is undefined. (use a comma to separate answers) (t^3-4t)/(t^2-36)

Algebra ->  Rational-functions -> SOLUTION: Find all numbers for which the rational expression is undefined. (use a comma to separate answers) (t^3-4t)/(t^2-36)       Log On


   

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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!
The expression %28t%5E3+-+4t%29%2F%28t%5E2+-+36%29 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 t%5E2+-+36+=+0 and find the values of t. We see that 6 and -6 are the two values that make the expression undefined.