It is true that, as f(x) approaches 1, gof(x) approaches infinity. However g(x) is never equal to 1. As f(x) goes to 2, gof(x) goes to 4. The range of gof is .
You could also have see that by writing gof(x) as . When x= 0, gof(0)= 4.
The sets A and B are defined respectively by
and the functions f and g are defined respectively by
where f(A)=B , g(B)=C with C as the range of the function g .
Find the range of the composite function gf(A)=C
Attempt :
The way they put it kinda confuse me .
, with domain [0,1)
so the range is (1, infinity)