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Write the equation (in factored form) given the following conditions:

vertical asymptotes x= 2, x = -17;

horizontal asymptote y = 6



Sagot :

  • x=2,x=-17

[tex]\\ \sf\longmapsto y=\dfrac{(x+2)}{(x+2)(x-17)}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+2}{x(x-17)+2(x-17)}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+2}{x^2-17x+2x-34}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+2}{x^2-15x-34}[/tex]

  • y=6

[tex]\\ \sf\longmapsto 6=\dfrac{x+2}{x^2-15x-34}[/tex]

[tex]\\ \sf\longmapsto 6(x^2-15x-34)-x-2=0[/tex]

[tex]\\ \sf\longmapsto 6x^2-90x-204-x-2=0[/tex]

[tex]\\ \sf\longmapsto 6x^2-91x-206=0[/tex]

Done

HayabusaBrainly

>> Answer

_________

[tex]\:[/tex]

Answer in the picture.

View image HayabusaBrainly
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