Question

Let f(x)=ax^2+(3a−2)x−6. What point does the right-hand x- intercept approach as a increases without bound?

Answer 1

ax (x +3) - 2 x - 6 = y

ax (x+3) - 2(x+3) = y
(ax-2)(x+3) = 0
x = -3 or x = 2/a which is x = 0 for huge a