College

Let the function \( f \) be defined as \( f(x) = 3x - 4(x + 9)^2 \). What is the value of \( f(-3) \)?

A. 150
B. 139
C. -144
D. -135
E. -153

Answer :

Final answer:

To find f(-3), substitute -3 into the given function and simplify the expression to get -153.


Explanation:

To find the value of f(-3), substitute -3 into the function f(x) = 3x-4(x+9)². This gives: f(-3) = 3(-3) - 4(-3+9)² = -9 - 4(6)² = -9 - 4(36) = -9 - 144 = -153. Therefore, the correct answer is K. -153.


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