Question

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

Answer 1

Answer:

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

Step-by-step explanation:

$g(x) = 3x^3$

Putting x = 2+h

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

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

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