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For some rational function,f(x) the graph of  y=f(x) has an oblique asymptote of y = 5x+7. Enter the equation of the horizontal asymptote of the graph of:

Thanks Guys!

 May 10, 2020
 #1
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any ideas?

 May 10, 2020
 #2
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Since  f(x)  has an oblique asympotote of  y  =  5x + 7,  it must have a coefficient of its highest degree term to be a multiple of 5 of the coefficient of the highest degree term of its denominator.

 

To have a horizontal asymptote, y must have the same highest degree in the numerator as in the denominator. 

The coefficient of the highest degree term of the numerator of y will remain 5 times the coefficient of the highest degree term of the denominator.

 

Thererfore, the equaton of the horizontal asymptote will be;  y  =  5.

 May 11, 2020
 #3
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Dude thank you so much for your in-depth explanation you are the best

 May 11, 2020

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