Question

Let f= {x, 2x/2x + 1 :x€ R, x != -1/2} be a function from R into R. Find the range of f.and Let f= x, { (3x²/ 1+x²:x € R }be a function from R into R. Find the range of f.
(€ -belongs to..
!= -not equal to..)​

Answer 1

Answer:

since x>0

let y=2–3x

so x=(2-y)/3 given that x is positive

so (2-y)/3 >0

then 2-y>0

so y<2

hence range is open interval -infinity to 2