Question 917192
f(x) = {{{((x+5)(x-2))/((x+3)(x+5))}}}


= {{{(x-2)/(x+3)}}}


Vertical asymptote: x = -3


Horizontal asymptote: look at the degree of numerator and denominator
numerator: _x^2_ + 3x - 10 ---> 2
denominator: _x^2_ + 8x + 15 ---> 2


divide coefficients: x^2/x^2 = 1 ----> y = 1


Plug in y = 0 to find x-intercept ---> (2, 0)
Plug in x = 0 to find y-intercept ---> (0, -2/3)