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Evaluate the function $f(k)=3 k^{2}+6$ when $k=-3$

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Answer

Final Answer: The value of the function \(f(k)=3 k^{2}+6\) when \(k=-3\) is \(\boxed{33}\).

Steps

Step 1 :The question is asking to evaluate the function \(f(k)=3 k^{2}+6\) when \(k=-3\).

Step 2 :To solve this, we need to substitute \(k=-3\) into the function and calculate the result.

Step 3 :Substituting \(k=-3\) into the function, we get \(f(-3)=3(-3)^{2}+6\).

Step 4 :Solving this, we get \(f(-3)=33\).

Step 5 :Final Answer: The value of the function \(f(k)=3 k^{2}+6\) when \(k=-3\) is \(\boxed{33}\).

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