Answer to Question #251520 in Algebra for Angelo

Question

Find the domain and range of this rational equation
f(x)=2/x+1

Answer 1

x+1=0

x=-1

So domain of the function is the set of real numbers except −1

To find the range, find the inverse, by interchanging x and y.

$x=2/(y+1)$

$y+1=2/x$

$y=2/x-1$

The range of the function is the set of real numbers except 0.