given f(x) = 1/2 (3-x)^2 what is the value of f(15)?

To find f(15), we substitute 15 for x in the expression for f(x):

f(15) = 1/2 (3-15)^2
f(15) = 1/2 (-12)^2
f(15) = 1/2 (144)
f(15) = 72

Therefore, f(15) = 72.