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
\[
(n \circ m)(x)=
\]

Answer

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Answer

$\boxed{\sqrt{x+7}+7}$ is the final answer.

Steps

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.