If `f(x)=x^(3)+2x`, then find the value of `f(3)`.

Answer

To find the value of \( f(3) \) for the function \( f(x) = x^3 + 2x \), we will follow these steps:

### Step 1: Substitute \( x \) with \( 3 \)
We need to find \( f(3) \). According to the function definition:
\[ f(x) = x^3 + 2x \]
We substitute \( x \) with \( 3 \):
\[ f(3) = 3^3 + 2 \cdot 3 \]

### Step 2: Calculate \( 3^3 \)
Now, we calculate \( 3^3 \):
\[ 3^3 = 3 \times 3 \times 3 = 27 \]

### Step 3: Calculate \( 2 \cdot 3 \)
Next, we calculate \( 2 \cdot 3 \):
\[ 2 \cdot 3 = 6 \]

### Step 4: Add the results from Step 2 and Step 3
Now, we add the results from the previous steps:
\[ f(3) = 27 + 6 = 33 \]

### Final Answer
Thus, the value of \( f(3) \) is:
\[ \boxed{33} \]

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