### Function Composition EvaluationSuppose that the functions \( u \) and \( w \) are defined as follows:\[ u(x) = \frac{x^2 + 9}{9} \]\[ w(x) = \sqrt{x + 8} \]Find the following compositions:\[\left( w \circ u \right) (8) = \quad \boxed{}\]\[\left( u \circ w \right) (8) = \quad \boxed{}\]### Steps for Solving Composition of Functions1. **Finding \( ( w \circ u )(8) \)** - First, evaluate \( u(8) \). - Then, use the result from \( u(8) \) as the input for \( w \).2. **Finding \( ( u \circ w )(8) \)** - First, evaluate \( w(8) \). - Then, use the result from \( w(8) \) as the input for \( u \).### Interactive SectionThe image includes an interactive component where students can input their answers. The controls include options to check the answers (\( \square_{--}^{--}\)), reset the inputs (\( \rotate \)), and get hints or guidance (\( ? \)).### User NavigationAt the bottom, there is a "Continue" button for progressing to the next part of the activity or lesson once the students have input their answers and are ready to move forward.

Name: ### Function Composition EvaluationSuppose that the functions \( u \)
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: ### Function Composition EvaluationSuppose that the functions \( u \) and \( w \) are defined as follows:\[ u(x) = \frac{x^2 + 9}{9} \]\[ w(x) = \sqrt{x + 8} \]Find the following compositions:\[\left( w \circ u \right) (8) = \quad \boxed{}\]\[\left(