Answer:
[tex]g(2+h) = 3h^3+18h^2+36h+24[/tex]
Step-by-step explanation:
[tex]g(x) = 3x^3[/tex]
Putting x = 2+h
[tex]g(2+h) = 3(2+h)^3\\g(2+h) = 3[8+h^3+6h(2+h)][/tex]
[tex]g(2+h) = 3(8+h^3+12h+6h^2)\\g(2+h) = 24+3h^3+36h+18h^2\\[/tex]
[tex]g(2+h) = 3h^3+18h^2+36h+24[/tex]
