# What is the domain and range of y=1/(x-2)?

Domain $\left(- \infty , 2\right) U \left(2 , \infty\right)$
Range $\left(- \infty , 0\right) U \left(0 , \infty\right)$
Domain is all x except x=2. at which y becomes undefined. $\left(- \infty , 2\right) U \left(2 , \infty\right)$
For range solve y=$\frac{1}{x - 2}$ for x, It is x= 2+1/y. Here x becomes undefined for y=0. Hence Range of y would be $\left(- \infty , 0\right) U \left(0 , \infty\right)$