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The image you've uploaded shows a set of function-related questions involving the graphs of two functions \( f(x) \) (in blue) and \( g(x) \) (in pink). The tasks involve evaluating the function for specific values of \( x \), as well as performing operations such as function addition, composition, and evaluation at given points.

Here’s a breakdown of the tasks:
1. Evaluate \( (f+g)(4) \)
2. Evaluate \( (g-f)(1) \)
3. Evaluate \( (g-f)(-1) \)
4. Evaluate \( \left( \frac{1}{g} \right)(-1) \)
5. Evaluate \( (f \circ g)(2) \)
6. Evaluate \( (g \circ f)(1) \)
7. Evaluate \( g(f(4)) \)

To proceed, I'll analyze the graph to gather the needed values of the functions \( f(x) \) and \( g(x) \) at the specific \( x \)-values provided in each part.

Let me first extract the values of \( f(x) \) and \( g(x) \) at the required points. I'll then help you with each calculation.

Do you want me to go through each part step-by-step and show how the operations are performed?

The graphs of f and g are shown. Evaluate the function at the given values of x, if possible. Write your answers as integers or simplified fractions. Select 'Undefined' if applicable.

Learn how to evaluate functions and perform operations like addition and composition using the graphs of f(x) and g(x). This problem involves evaluating functions at specific x-values, including function addition, subtraction, and composition. Suitable for students in Grades 9-11.

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