First, let's calculate f(−1):
Since x≤1, we use the third part of the function definition:
f(−1)=3(−1)=−3
Next, let's calculate f(2):
Since 1<x≤3, we use the second part of the function definition:
f(2)=(2)2=4
Finally, let's calculate f(4):
Since x>3, we use the first part of the function definition:
f(4)=2(4)=8
Now, we can compute f(−1)+f(2)+f(4):
−3+4+8=9
Therefore, f(−1)+f(2)+f(4) is equal to 9 (option B).