If `f(x)=x^(2)+6`, what is the value of f(3)?

Options

A. `15`
B. `33`
C. `39`
D. `729`

Explanation

To find the value of \( f(3) \) when \( f(x) = x^2 + 6 \), follow these steps:

### Step 1: Identify the function
We have the function defined as:
\[ f(x) = x^2 + 6 \]

### Step 2: Substitute \( x \) with 3
To find \( f(3) \), we substitute \( x \) with 3 in the function:
\[ f(3) = 3^2 + 6 \]

### Step 3: Calculate \( 3^2 \)
Now, calculate \( 3^2 \):
\[ 3^2 = 9 \]

### Step 4: Add 6 to the result
Next, add 6 to the result from the previous step:
\[ 9 + 6 = 15 \]

### Step 5: State the final answer
Thus, the value of \( f(3) \) is:
\[ f(3) = 15 \]