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Determine the rational function with the characteristics x = 3, x = -1, and x = 0

Determine The Rational Function With The Characteristics X 3 X 1 And X 0 class=

Sagot :

Given the vertical asymptotes:

[tex]x=3,x=-1,and\text{ x=0}[/tex]

As we have vertical asymptotes at x = 3, x = -1, and x = 0 we have in denominator

[tex](x-3),(x+1)and\text{ }x[/tex]

Hence, the rational function is

[tex]f(x)=\frac{1}{x(x-3)(x+1)}[/tex]

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