Question

Use the following function rule to find f(2). f(x) = 2 ( 10 + x ) 2 f(2) =

Answer 1

To find \( f(2) \) using the given function rule \( f(x) = 2(10 + x)^2 \), we will substitute \( x = 2 \) into the function.

Here are the steps:

1. Substitute \( x = 2 \) into the function:
\[
f(2) = 2(10 + 2)^2
\]

2. Simplify the expression inside the parentheses:
\[
f(2) = 2(12)^2
\]

3. Calculate \( 12^2 \):
\[
12^2 = 144
\]

4. Multiply by 2:
\[
f(2) = 2 \times 144 = 288
\]

Thus, the value of \( f(2) \) is \( \boxed{288} \).