SOLUTION: State the reciprocal function of f(x)=5x^2 +13x-6 and state the equations of any vertical asymptote(s) of the reciprocal function. Thanks:)

Question 1199809: State the reciprocal function of f(x)=5x^2 +13x-6 and state the equations of any vertical asymptote(s) of the reciprocal function.
Thanks:)

Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.


The reciprocal function is  f(x) = .


Vertical asymptotes are where the denominator polynomial has zeroes.


In the denominator, you have a quadratic function.


Its zeroes are the root of this polynomial.


Find the roots using the quadratic formula


     =  =  = .


The roots are   -3  and   = 0.4 = .


So, vertical asymptotes are  x = -3  and  x =  = 0.4 = .

Solved, with full explanations.

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