We have that the reciprocal function with asymptotes is mathematically given as
[tex]y=\frac{1}{x-4}-9[/tex]
Question Parameters:
asymptotes x=4 and y=-9.
Generally the equation for reciprocal function is mathematically given as
[tex]y=\frac{a}{x-h}+k[/tex]
Therefore
[tex]y=\frac{1}{x-4}-9[/tex]
Therefore,a reciprocal function with asymptotes x=4 and y=-9. is
[tex]y=\frac{1}{x-4}-9[/tex]
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