Final answer:
The value of the function h(m) when m is 9 can be determined by substituting 9 into the equation h(m) = m² -3m, giving us h(9) = 54.
Step-by-step explanation:
To determine the value of the function h(m) at m = 9, we need to substitute m with 9 in the given function and then perform the necessary calculations:
h(m) = m² − 3m
Substituting m with 9, we have:
h(9) = 9² − 3(9)
h(9) = 81 − 27
h(9) = 54
Thus, the value of h(9) is 54, which corresponds to option D.