Question

find the vertical asymptotes of the function givem
(x^2+7)/(9x-5x^2) please provide the smallest value and the largest value of x.

Answer 1

can you please show me step by step

Answer 2

set the denominator = 0 and solve:

Answer 3

\[9x-5x^2=0\]
\[x(9-5x)=0\]
\[x=0\] or \[x=\frac{9}{5}\]

Answer 4

those are your vertical asymptotes

Answer 5

horizontal one is \[y=-\frac{1}{5}\] since the degree of numerator and denominator are the same it is the ratio of the leading coefficients. not that you asked

Answer 6

ok cool thank you veyr much

Answer 7

welcome