Can this problem be solved?

The answer is 9 because g(x) is a parabola, not a linear function of the form ax + b.

You can tell because as x increases from -3 to -2, g(x) decreases by 2,

then when x increases from -2 to -1, f(x) decreases by 1.

This is not linear behavior. Also, f(-1) and f(1) are both = 1.

Straight lines do not decrease and then increase again.

However, these values fit the description of a parabola very well.

Thus f(x) must be the linear function, and from the values

you see that f(x) increases by 3, as x increases by 1.

Thus f(0) = f(-1) + 3 = 6 + 3 = 9

Test for the slope: (y2-y1)/(x2-x1)

For g(x): (2-4)/(-2-(-3)) = -2 but using the next two points (1-2)/(-1-(-2)) = -1 so the lines connecting the two points are not the same.

For h(x): (6-3)/(-1-(-2)) = 3 and (18-15)/(3-2) = 3 so the slope of the line is 3.

Using y-y1 = m(x-x1)

y-3 = 3(x-(-2))

y-3 = 3x + 6

y = 3x + 9

so h(x) =3x + 9 and h(0) = 9