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Suppose the domain of f is (-1,1).  Define the function l by l(x) = f((x - 1)/(x - 3)).  What is the domain of l?

 Dec 6, 2020
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x is   (-1,1) 

 

numerator    x-1   is between    -2 and 0

denominator x-3   is between    -4  and -2

 

-2/-2 = 1

 

0/anything is 0

 

So  the domain of L  is  (0,1)

 Dec 7, 2020

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