Answer: -479/4
Step-by-step explanation:
[tex]g(-4)=3(-4)^4 +\frac{8}{(-4)^2}=\frac{1537}{2}\\\\g(2)=3(2)^4+\frac{8}{2^2}=50\\\\\frac{g(2)-g(-4)}=\frac{50-\frac{1537}{2}}{2-(-4)}=-\frac{479}{4}[/tex]
