What is the domain and range of #ƒ(x)= (5x+15)/ ((x^2) +1)#?
Refer to explanation
The range is the set of real numbers hence
For the range we set
The last equation is a trinomial with respect to x.In order to have a meaning in real numbers its discriminant must be equal or greater than zero.Hence
The last is always true for the following values of
Hence the range is