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What is the domain of the function
f(t) = \frac{1}{(t-1)^2-(t+1)^2}?
Express your answer in interval notation.

 Feb 12, 2022
 #1
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\( \frac{1}{(t-1)^2-(t+1)^2}\)

 

 

Let's  simplify  the denominator   as    [ t^2 - 2t + 1 ]  - [ t^2 + 2t + 1 ]   =   -4t

 

Note  that we can't have  0   as the denomiator, so  the only value  that  makes 4t   =  0    is when t = 0

 

Then  the domain for t is   ( -infinity , 0)  U  ( 0  , infinity )

 

cool cool cool

 Feb 12, 2022
edited by CPhill  Feb 12, 2022

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