Answer:
C) [tex]g(x)=\sqrt[3]{\frac{x+2}{4}}[/tex]
Step-by-step explanation:
[tex]f(x)=4x^3-2[/tex]
[tex]y=4x^3-2[/tex]
[tex]x=4y^3-2[/tex]
[tex]x+2=4y^3[/tex]
[tex]\frac{x+2}{4}=y^3 [/tex]
[tex]\sqrt[3]{\frac{x+2}{4}}=y [/tex]
[tex]f^{-1}(x)=\sqrt[3]{\frac{x+2}{4}}[/tex]
[tex]g(x)=\sqrt[3]{\frac{x+2}{4}}[/tex]
