The vertical asymptotes will occur at the x values produced by setting the denominator = 0 :
x^2 + 6x - 7 = 0 factor
( x - 7) ( x + 1) = 0 set each factor to 0 and solve for x
x -7 = 0 x + 1 = 0
x = 7 x = -1
These are the equations of the vertical asymptotes
