find the horizontal asymptote of the following function. give your answer in the form ( y = b ), or enter (…

find the horizontal asymptote of the following function. give your answer in the form ( y = b ), or enter ( varnothing ) if there is none.\n\n( f ( x ) = \frac { 6 x ^ { 5 } - 4 x ^ { 2 } + 5 } { 6 x ^ { 2 } + 5 x - 4 } )

find the horizontal asymptote of the following function. give your answer in the form ( y = b ), or enter ( varnothing ) if there is none.\n\n( f ( x ) = \frac { 6 x ^ { 5 } - 4 x ^ { 2 } + 5 } { 6 x ^ { 2 } + 5 x - 4 } )

Answer

Explanation:

Step1: Determine the degrees of numerator and denominator

The degree of the numerator (n = 5) (from (6x^{5})) and the degree of the denominator (m=2) (from (6x^{2})).

Step2: Apply the rule for horizontal asymptotes

When (n>m) (here (5 > 2)), there is no horizontal asymptote.

Answer:

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