# How do you find the domain and range of h(x)= 1/(x+1)?

Mar 29, 2017

Domain is $\mathbb{R} , x \ne - 1$
Rage is $\mathbb{R} , h \left(x\right) \ne 0$

#### Explanation:

$h \left(x\right) = \frac{1}{x + 1}$
Domain: Denominator must not be $0 \therefore x + 1 \ne 0 \mathmr{and} x \ne - 1$
Domain is any real value except $- 1$
So Domain is $\mathbb{R} , x \ne - 1$

Range is any real value except $0$
So Rage is $\mathbb{R} , h \left(x\right) \ne 0$ graph{1/(x+1) [-10, 10, -5, 5]}[Ans]