What is the domain and range of $y= (x+1)/(x^2-1)$ ?

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What is the domain and range of $y= (x+1)/(x^2-1)$ ?

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Answer 1 · 2018-03-26T15:22:26

$f: RR-{1} rarr RR$

Explanation:

Simplify your function
$y=(x+1)/(x^2-1)=(x+1)/((x+1)(x-1))=1/(x-1)$
Ask yourself where the function is not defined, where the numerator is different from zero.
$x-1=0$
$x=1$
The domain is the real ax except 1, range is the whole real ax.

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What is the domain and range of $y= (x+1)/(x^2-1)$ ?

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