# What is the domain and range of #ƒ(x)= (5x+15)/ ((x^2) +1)#?

##### 1 Answer

Sep 24, 2015

Refer to explanation

#### Explanation:

The range is the set of real numbers hence

For the range we set

Hence

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