Questions: Find f(-3) when f(x)=x^2+5x+6

Find f(-3) when f(x)=x^2+5x+6
Transcript text: Find $f(-3)$ when $f(x)=x^{2}+5 x+6$
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Solution

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Solution Steps

Step 1: Define the Function

We are given the function \( f(x) = x^2 + 5x + 6 \).

Step 2: Evaluate the Function at \( x = -3 \)

To find \( f(-3) \), we substitute \( -3 \) into the function:

\[ f(-3) = (-3)^2 + 5(-3) + 6 \]

Calculating each term:

\[ (-3)^2 = 9 \] \[ 5(-3) = -15 \] \[ f(-3) = 9 - 15 + 6 \]

Now, simplifying:

\[ f(-3) = 9 - 15 + 6 = 0 \]

Final Answer

Thus, the value of \( f(-3) \) is

\[ \boxed{0} \]

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