Final answer:
To find f(6), substitute 6 into the function f(x) = x² + 3x - x/2 and simplify. Upon calculation, f(6) is found to be 51.
Step-by-step explanation:
The student is asking to calculate the value of the function f(x) = x² + 3x - x/2 when x is equal to 6. To find f(6), we substitute 6 into the function:
f(6) = 6² + 3(6) - 6/2
Now, we simplify the expression:
f(6) = 36 + 18 - 3
f(6) = 54 - 3
f(6) = 51
So, f(6) is equal to 51.