Respuesta :

We have that the  reciprocal function with asymptotes  is mathematically given as

[tex]y=\frac{1}{x-4}-9[/tex]

Reciprocal function

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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