Problem

Find $f(g(x))$.
\[
\begin{array}{l}
f(x)=x^{3} \quad g(x)=|x+1| \\
f(g(x))=(|[?]+\square|)^{3} \\
\end{array}
\]

Answer

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Answer

So, the final answer is \(f(g(x)) = \boxed{(|x+1|)^3}\).

Steps

Step 1 :Given functions are \(f(x)=x^{3}\) and \(g(x)=|x+1|\).

Step 2 :We need to find \(f(g(x))\).

Step 3 :Substitute \(g(x)\) into \(f(x)\) to get \(f(g(x)) = (|x+1|)^3\).

Step 4 :So, the final answer is \(f(g(x)) = \boxed{(|x+1|)^3}\).

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