According to the question, to express the rational function for the vertical asymptote whose equation is
and horizontal asymptote whose equation is at 
As per the question, the function 'f(x)' is vertical at
. Therefore, the denominator be 

The function 'g(x)' should have same degree as the denominator function has and it is defined as
The rational function can be written as:
Rational function = 
What is rational function?
Rational function is a function whose numerator and denominator terms are in polynomials. Basically, it is a ratio of polynomials. The important condition for these type of function is that denominator should be of degree one.
To learn more about rational function from the given link:
<u>brainly.com/question/19044037</u>
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