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

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Answer 1 · 2015-03-26T03:58:56

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

Range:
if $y=1/(x+1)$ , then $y(x+1)=1$

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

finally, then $x=(1-y)/y$

$y$ 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]}

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