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:

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thesoccerfish May 10, 2020

#2**0 **

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.

geno3141 May 11, 2020