SOLUTION: prove that y =3/2 is not in the range of f(x)=(3x-1)/(2x+4)

Algebra ->  Functions -> SOLUTION: prove that y =3/2 is not in the range of f(x)=(3x-1)/(2x+4)      Log On


   

Question 498076: prove that y =3/2 is not in the range of f(x)=(3x-1)/(2x+4)
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that f(x) = 3/2, that is



Then, , contradiction, so 3/2 cannot be in the range.

Technically, the value of f(x) approaches 3/2 as x gets larger and larger.