Asked by Armando
                I'm taking this math class and I'm suppose to find the vertical, horizontal and oblique asymptote, if any for the following equation...
f(x) = 11 - (5x/5x^2 + 7x - 12)
by NOT, i repeat NOT looking at a graph of the function.
Thanks...
            
            
        f(x) = 11 - (5x/5x^2 + 7x - 12)
by NOT, i repeat NOT looking at a graph of the function.
Thanks...
Answers
                    Answered by
            drwls
            
    Your school is NOT the subject.
    
                    Answered by
            Reiny
            
    f(x) = 11 - (5x/5x^2 + 7x - 12) 
I think you meant
f(x) = 11 - 5x/(5x^2 + 7x - 12) which factors to
f(x) = 11 - 5x/((x-1)(5x+12))
V.A. when the denominator is zero
---> x = 1, -12/5
H.A. what happens when x becomes ± "large"
the algebraic term at the end --> 0
so y = 11
I don't "see" any oblique asymptotes.
    
I think you meant
f(x) = 11 - 5x/(5x^2 + 7x - 12) which factors to
f(x) = 11 - 5x/((x-1)(5x+12))
V.A. when the denominator is zero
---> x = 1, -12/5
H.A. what happens when x becomes ± "large"
the algebraic term at the end --> 0
so y = 11
I don't "see" any oblique asymptotes.
                    Answered by
            Armando
            
    Thank you very much,  I have been trying to solve this the entire day...  It's so simple... for some reason, I keep on pulling the 5 out of the equation....  This helps a lot.... Thanks...
    
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