Questions: Use the following function rule to find (f(2)). (f(x)=(2x+9)^2) (f(2)=square)

Use the following function rule to find (f(2)). (f(x)=(2x+9)^2) (f(2)=square)
Transcript text: Use the following function rule to find $f(2)$. \[ \begin{array}{l} f(x)=(2 x+9)^{2} \\ f(2)=\square \end{array} \]
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Solution

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Solution Steps

Step 1: Substitute \( x = 2 \) into the function

Substitute \( x = 2 \) into the function \( f(x) = (2x + 9)^2 \): \[ f(2) = (2(2) + 9)^2 \]

Step 2: Simplify the expression inside the parentheses

Calculate \( 2(2) + 9 \): \[ 2(2) + 9 = 4 + 9 = 13 \]

Step 3: Square the result

Square the result obtained in Step 2: \[ f(2) = 13^2 = 169 \]

The final answer is \( \boxed{169} \).

Final Answer

\(\boxed{169}\)

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