State the horizontal asymptote of the rational function. (2 points) f(x) = quantity five x plus one divided by quantity nine x minus two.

The answer is:    " x  =   " .
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Explanation:
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Write the function described:

f(x) = (5x + 1) / (9x - 2). 
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Since we cannot "divide by zero" ;  The "horizontal asymptote" will be the value of "x" at which:

  " 9x - 2 = 0 " ;  We know this will be the "horizontal" symptom because we are solving for the value of "x"; which is the "x-axis" , or "horizontal axis" (as opposed to the "vertical asymptote", or "y-axis" .
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   9x - 2 = 0 ; 

Add "2" to each side of the equation:

  9x - 2 + 2 = 0 + 2 ; 

to get:  

  9x = 2 ; 

Now, divide each side of the equation by "9" ; 
  to isolate "x" on one side of the equation; & to solve for "x" ; 

 9x / 9 = 2 / 9 ; 

  x  =  " " .
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