Let's solve the quadratic equation step by step.
1. Start with the equation: x² - x - 2 = 0
2. Factor the quadratic equation: (x - 2)(x + 1) = 0
3. Set each factor equal to zero and solve for "x":
x - 2 = 0 --> x = 2
x + 1 = 0 --> x = -1
So, the values of "x" for which f(x) = g(x) are x = 2 and x = -1.