Given f(x)=1/2(3-x)^2,

what is the value of f(15)?

We can start by plugging in 15 for x in the given function:

f(15) = 1/2(3-15)^2

Simplifying inside the parentheses first:

f(15) = 1/2(-12)^2

Squaring -12:

f(15) = 1/2(144)

Multiplying 1/2 by 144:

f(15) = 72

Therefore, f(15) = 72.

To find the value of f(15) when f(x) = 1/2(3-x)^2, we need to substitute x = 15 into the equation.

Substituting x = 15 into the equation, we have:

f(15) = 1/2(3-15)^2

Simplifying inside the parentheses:

= 1/2(-12)^2

= 1/2(144)

= 72

Therefore, the value of f(15) is 72.