SOLUTION: Find the horizontal asymptote of each rational function. F(x)= (2x-3)(3x+4) (numerator) (1-2x)(3-5x) (denominator) The answer I have is y=3/5. Is this correct?

Algebra ->  Rational-functions -> SOLUTION: Find the horizontal asymptote of each rational function. F(x)= (2x-3)(3x+4) (numerator) (1-2x)(3-5x) (denominator) The answer I have is y=3/5. Is this correct?      Log On


   

Question 167213This question is from textbook College Algebra
: Find the horizontal asymptote of each rational function.
F(x)= (2x-3)(3x+4) (numerator)
(1-2x)(3-5x) (denominator)
The answer I have is y=3/5. Is this correct? This question is from textbook College Algebra

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=+%28%282x-3%29%283x%2B4%29%29%2F%28%281-2x%29%283-5x%29%29
Yes, as x gets large the function begins to look like,
f%5BL%5D%28x%29=%282x%2A3x%29%2F%28%28-2x%29%2A%28-5x%29%29
f%5BL%5D%28x%29=%282%2A3%29%2F%282%2A5%29
f%5BL%5D%28x%29=6%2F10=3%2F5