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help how do i find domain

 

Find the domain of the function
\[f(x) = \frac{2-x}{\log (2 - x)}
where $\log$ is the base $10$ logarithm function. Express your answer in interval notation.

 Aug 17, 2023
 #1
avatar+129872 
+1

\([f(x) = \frac{2-x}{\log (2 - x)}\)

 

Only the denominator matters

 

We can't take the  log of a  non-zero  number

 

Therefore  the domain is  ( -inf , 2)   

 

cool cool cool

 Aug 17, 2023

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