What is the domain and Range of 1/(x+1)?

Mar 26, 2015

Domain is all reals except $- 1$ (Can't divide by $0$)

Range:
if $y = \frac{1}{x + 1}$, then $y \left(x + 1\right) = 1$

son $x y + y = 1$ and $x y = 1 - y$,

finally, then $x = \frac{1 - y}{y}$

$y$ can take any value except $0$.

Range is all reals except $0$.

graph{y=1/(x+1) [-9.74, 8.03, -3.8, 5.09]}