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Find the domain and range of the function f(x) = 2/(2 - 3x).

 Dec 28, 2023
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2 / (2 - 3x)

 

The denominator cannot = 0   so x cannot =  (2/3)

So  domain =  (-inf, 2/3) U (2/3 , inf)

 

We have a lower power polynomial over a higher power polynomial....in such a case we will have a horizontal  asymptote at y  = 0

 

So....the range =  (-inf, 0) U (0, inf)

 

cool cool cool

 Dec 28, 2023

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