Question

Find a formula for a function that has vertical asymptotes x = 2 and x = 7 and horizontal asymptote y = 2.

Answer 1

Hello : 

 

hello : 
1 ) if : xـــــــ> ± ∞  
 limf(x)   = b     ....(b∈R)     so : y=b is the equation of the line horizontal asymptote.

2) if : xـــــــ> a ...(a∈R)
 limf(x)   = ± ∞  
so : x=a is the equation of the line vertical asymptote.

hint : in this exercice : a = 2 or a = 7  but : b=2