Determine the domains of the given rational functions. (x^2-9)/(x^3-x)

Reeves

Reeves

Answered question

2021-06-20

Determine the domains of the given rational functions.
x29x3x

Answer & Explanation

grbavit

grbavit

Skilled2021-06-21Added 109 answers

By rules of the domain ofthe function that denominator can not be zero, we have
x3x=0
x3x can be written as x3x=x(x21)
From here we have that
x3x=x(x21)=0 when x=0 or x21=0.
x21=0 is quadratic function and we have
x2=1
Then domain of the given function is
R{1,0,1}

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