find the domain and range of the functions

g(x)=1/(x-1) and f(x)=2x/(x+1)

1 answer

for g(x)=1/(x-1)
domain is the set of reals, except x ≠ 1
range is the set of reals, except y ≠ 0

for f(x)=2x/(x+1)
domain is the set of reals, except x ≠ -1
range is the set of reals, except y ≠ 2

A peek at a rough sketch of the curves will help you see that