Given,
The expression is,
[tex]\begin{gathered} f(x)=5x^3-2x \\ g(x)=3x^3 \end{gathered}[/tex]Required
The value of g(f(x)).
The value of g(f(x)).
[tex]\begin{gathered} g(f(x))=g(5x^3-2x) \\ =3(5x^3-2x)^3 \\ =3(125x^9-150x^7+60x^5-8x^3) \\ =375x^9-450x^7+180x^5-24x^3 \end{gathered}[/tex]Hence, the value of g(f(x)) is 375x^9 - 450x^7 + 180x^5 - 24x^3.
