Final answer:
The value of h(-3x) when n is equal to -3x is h(-3x) = 3x^3 - 3.
Step-by-step explanation:
The value of h(-3x) when n is equal to -3x is:
h(-3x) = -3x^3 + 3
In this equation, x represents the value of n. To find the value of h(-3x), substitute -3x for x in the equation. This gives us:
h(-3x) = -3(-3x)^3 + 3
Simplifying the equation further:
h(-3x) = -3(-27x^3) + 3
h(-3x) = 81x^3 + 3
Therefore, the correct option is d) h(-3x) = 3x^3 - 3.