Find the Domain and Range of the Function
Question:
Write the domain and range of the function
\[ f(x)=\frac{x-2}{2-x} \]
Solution:
\[ f(x)=\frac{x-2}{2-x} \]
\[ =\frac{x-2}{-(x-2)} \]
\[ =-1, \qquad x\ne2 \]
Therefore,
Domain:
\[ R-\{2\} \]
Range:
\[ \{-1\} \]