Answer: Second Option
and
![f(0)=g(0)](https://img.qammunity.org/2020/formulas/mathematics/high-school/c0fb05hw14axvn0u4cr5nx4qtdxruut6gr.png)
Step-by-step explanation:
Note that f(x) is a horizontal line.
Functions whose graph is a horizontal line have the following form:
![f (x) = b](https://img.qammunity.org/2020/formulas/mathematics/high-school/7q48bnrpwh8ia9jho2v1gl6k32m5eebr2i.png)
Where b is the intersection with the y axis.
In this case b = 4. Then we can write f(x) as:
![f (x) = 4](https://img.qammunity.org/2020/formulas/mathematics/high-school/pzy5mzvg8i7rjzjauqtm2kv1fdgdq95ctr.png)
Now notice that g(x) is a parabola.
The solution of the equation
are all points where the graph of f(x) intersects the graph of g(x).
Note that the intersection between the graphs occurs at the points: (-4, 4) and (0, 4)
Then the answer is the second option