Question

Let g(x)=3x^3. find g(2+h)

Answer 1

`g(2+h) = 3h^3+18h^2+36h+24`

Explanation:

`g(x) = 3x^3`

Putting x = 2+h

`g(2+h) = 3(2+h)^3\\g(2+h) = 3[8+h^3+6h(2+h)]`

`g(2+h) = 3(8+h^3+12h+6h^2)\\g(2+h) = 24+3h^3+36h+18h^2\\`

`g(2+h) = 3h^3+18h^2+36h+24`