In order to find the solution of this system of equations, we need to find the ordered pair that is a solution to both equations.
To do so, let's use the value of x from every option and calculate the corresponding value of the functions:
[tex]\begin{gathered} x=0\colon \\ f(0)=\sqrt[]{0+4}=2 \\ g(0)=0-4=-4 \\ \\ x=1.6\colon \\ f(1.6)=\sqrt[]{3.2+4}=2.68 \\ g(1.6)=1.6^3-4=0 \\ \\ x=-1.3\colon \\ f(-1.3)=\sqrt[]{-2.6+4}=1.18 \\ g(-1.3)=(-1.3)^3-4=-6.2 \\ \\ x=1.9\colon \\ f(1.9)=\sqrt[]{3.8+4}=2.8 \\ g(1.9)=(1.9)^3-4=2.8 \end{gathered}[/tex]
So the correct option is the fourth one.
