SOLUTION: Given: f(x)=2/(x-1)+4 and g(x)=x+2. write down the equations of the asymptotes of f.

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Question 620186: Given: f(x)=2/(x-1)+4 and g(x)=x+2. write down the equations of the asymptotes of f.
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The degree of the numerator polynomial in f is less than the degree of the denominator polynomial, so the function is asymptotic to the -axis. Write an equation of the -axis.

The function has a vertical asymptote with equation for every real value such that the denominator is equal to zero if . Set the denominator equal to zero, then solve for all possible real roots, , then there will be a vertical asymptote at every vertical line .

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