To find the approximation where both functions equal, find where both lines intersect at. Both lines intersect in the Fourth Quadrant so The first 2 are wrong.
The y coordinate is lesser than -10 so the 4th one is wrong.
The solution to f(x) = g(x) is where the f(x) and g(x) curves cross, aka the intersection point.
Based on the graph alone, it's a bit tricky to tell where they cross. Luckily, your teacher gave you multiple choices to pick from. We can rule out choices A and B since x < 0 here, but the x coordinate of the intersection is positive.
Choice D can be ruled out because the intersection point has a y coordinate such that -20 < y < -15. It looks like y is much closer to -20 than it is to -10. So there's no way to have y = -8 happen.
The only thing left is choice C. It appears that the intersection point could be (3,-19).
