Problem

Refer to functions $m$ and $n$. Find the function $(n \circ m)(x)$ and write the domain in interval notation. Write any number in the intervals as an integer or a simplified fraction. \[ m(x)=\sqrt{x+7} \quad n(x)=x+7 \] Part: $0 / 2$ Part 1 of 2 \[ (n \circ m)(x)= \]

Solution

Step 1 :Let's find the function \((n \circ m)(x)\).

Step 2 :\((n \circ m)(x)\) represents the composition of functions \(n\) and \(m\).

Step 3 :First, apply \(m(x)\) to \(x\), which gives us \(\sqrt{x+7}\).

Step 4 :Then, apply \(n(x)\) to the result, which gives us \((\sqrt{x+7})+7\).

Step 5 :So, the function \((n \circ m)(x)\) is \(\sqrt{x+7}+7\).

Step 6 :\(\boxed{\sqrt{x+7}+7}\) is the final answer.

From Solvely APP
Source: https://solvelyapp.com/problems/27473/

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