Final answer:
The vertical asymptotes of the rational function f(x) = (2x+17)/(x²+8x+12) are at x = -2 and x = -6, which are found by factoring the denominator and setting it equal to zero.
Step-by-step explanation:
The question concerns finding the equations of the vertical asymptote of a rational function. To find the vertical asymptotes of the given function f(x) = (2x+17)/(x²+8x+12), we need to factor the denominator and find the values of x that will make the denominator zero, as these are the points where the function will approach infinity. The denominator can be factored as (x+2)(x+6). Therefore, the function has vertical asymptotes at x = -2 and x = -6, since these are the values for which the denominator is zero.