Answer:
The inner function is 
and the outer function is 
.
The derivative of the function is 
.
Step-by-step explanation:
A composite function can be written as 
, where 
and 
are basic functions.
For the function 
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have 
inside parentheses. So is the inner function and the outer function is .
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function is the composition, , of
outside function:
inside function:
The derivative of this is computed as
The derivative of the function is .
46/14. Hoped this helped!
Using it's concept, the domain of the function is given as follows:
{x| –2 ≤ x <= 5}
<h3>What is the domain of a function?</h3>
The domain of a function is the set that contains all possible input values for the function, that is, the values for which the function is defined.
The function described in this problem is defined from x = -2 until x = 5 hence the domain of the function is given as follows, by the interval:
{x| –2 ≤ x <= 5}
More can be learned about the domain of a function at brainly.com/question/10891721
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