Question
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Suppose that the functions and

Ask by Hamilton Li. in the United States
Mar 17,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

Step 1. Compute :
We have
First, find :
Now, compute :
Thus,
Step 2. Compute :
First, find :
Now, compute :
Thus,

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

To solve for and , we first need to understand what these compositions mean. The notation means we first apply the function to , and then take that result and apply the function to it.
First, calculate :
Now, use this result to find :
Now calculate :
Thus, .
Next, we calculate , meaning we apply to first:
Now, use this result to find :
Now calculate :
Thus, .
Putting it all together:

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