Problem

Consider the following functions.
\[
f(x)=|x| \text { and } g(x)=x-2
\]

Step 3 of $4:$ Find $(\dot{f} g)(1)$.

Answer

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Answer

Final Answer: The value of \((f \cdot g)(1)\) is \(\boxed{-1}\).

Steps

Step 1 :Consider the following functions: \(f(x)=|x|\) and \(g(x)=x-2\).

Step 2 :To find \((f \cdot g)(1)\), we need to evaluate the functions \(f(x)\) and \(g(x)\) at \(x=1\) and then multiply the results.

Step 3 :The function \(f(x)\) is the absolute value of \(x\) and the function \(g(x)\) is \(x-2\). So, we need to find \(f(1)\) and \(g(1)\) and then multiply these values.

Step 4 :Final Answer: The value of \((f \cdot g)(1)\) is \(\boxed{-1}\).

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