From the table, we know that:
[tex]g(3)=-20[/tex]
Substitute x=3 into the rule of correspondence of f to find f(3):
[tex]\begin{gathered} f(x)=-2(2)^x \\ \Rightarrow f(3)=-2(2)^3 \\ =-2(8) \\ =-16 \end{gathered}[/tex]
Since f(3)=-16 and g(3)=-20, and -20<-16, then:
[tex]g(3)
