SOLUTION: For the following function find the vertical, horizontal, and oblique asymptotes, if any. Please show all of your work. f(x) = 4x/7x^2+6x-16 +25
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Question 528628: For the following function find the vertical, horizontal, and oblique asymptotes, if any. Please show all of your work. f(x) = 4x/7x^2+6x-16 +25
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
For the following function find the vertical, horizontal, and oblique asymptotes, if any. Please show all of your work. f(x) = 4x/7x^2+6x-16 +25
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f(x) = 4x/(7x^2+6x+9)
When the degree of the numerator is less than that of the denominator, as in this case, the horizontal asymptote is the x-axis.
..
Vertical Asymptotes occur when x-values make the denominator=0.
In this case, because of the constant 9, the denominator can never be zero.
Therefore, there are no vertical asymptotes.
..
Oblique asymptotes occur only if the numerator is one degree higher than that of the denominator; therefore, there are no oblique asymptotes in this case.
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