Problem

For the function, $f(x)=-3 x+6$, complete parts a through $c$.
a) $f(x+h)=\square($ Simplify your answer. $)$

Answer

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Answer

Final Answer: \(f(x+h) = \boxed{-3h - 3x + 6}\)

Steps

Step 1 :The question is asking for the value of the function \(f(x)\) at \(x+h\). To find this, we need to substitute \(x+h\) into the function and simplify the result.

Step 2 :Substitute \(x+h\) into the function \(f(x) = -3x + 6\) to get \(f(x+h) = -3(x+h) + 6\).

Step 3 :Simplify the expression to get \(f(x+h) = -3h - 3x + 6\).

Step 4 :Final Answer: \(f(x+h) = \boxed{-3h - 3x + 6}\)

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