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.
$m (x) = \sqrt{x + 7} n (x) = x + 7$
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$(n \circ m) (x) =$

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Answer

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