# What is the domain and range for f(x) = (2 - x) /( 3 + x)?

The domain is $R - \left\{3\right\}$ and for the range we have
y=(2-x)/(3+x)=>y(3+x)=2-x=>3y+yx=2-x=> x(y+1)=2-3y=>x=(2-3y)/(y+1)
Hence the range is $R - \left\{- 1\right\}$.