Problem

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

Solution

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 \(f(g(x)) = \boxed{(|x+1|)^3}\).

From Solvely APP
Source: https://solvelyapp.com/problems/19521/

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