Substitute x = -2 into the function.
This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
ScanSolve AI Answer
To evaluate the function $f(x) = x^3 + 3x^2 + x + 7$ at $f(-2)$, substitute $x = -2$ into the function.
Step 1: Substitute $x = -2$ into the function.
$$f(-2) = (-2)^3 + 3(-2)^2 + (-2) + 7$$
Step 2: Calculate each term.
$$(-2)^3 = -8$$
$$3(-2)^2 = 3(4) = 12$$
$$-2$$
$$7$$
Step 3: Sum the calculated terms.
$$f(-2) = -8 + 12 - 2 + 7$$
$$f(-2) = 4 - 2 + 7$$
$$f(-2) = 2 + 7$$
$$f(-2) = 9$$
The value of $f(-2)$ is 9.
Comparing this with the given options:
Option A: -9
Option B: 64
Option C: 8
Option D: 9
The correct option is D.
The final answer is $\boxed{\text{9}}$.
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