Question

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

Answer 1

Refer to explanation

Explanation:

The domain is `R-{3}` 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-{-1}`.