Evaluate each expression using the graphs of y equals f left parenthesis x right parenthesis and y equals g left parenthesis x right parenthesis shown below.
​a) left parenthesis g circle f right parenthesis left parenthesis 5 right parenthesis
​b) left parenthesis g circle f right parenthesis left parenthesis 0 right parenthesis
​c) left parenthesis f circle g right parenthesis left parenthesis 3 right parenthesis
​d) left parenthesis f circle g right parenthesis left parenthesis 4 right parenthesis
-4
-2
2
4
6
8
10
-6
-4
-2
2
4
6
8
x
y
y = g(x)
y = f(x)

It appears that you are asking for the evaluation of composite functions \( (g \circ f)(x) \) and \( (f \circ g)(x) \), given the graphs of \( y = f(x) \) and \( y = g(x) \). However, I don't have access to the graphs you mentioned. 

Could you provide a brief description or a picture of the graphs? This will help me extract the function values and proceed with the calculations.

Once I have that information, I'll be able to help you evaluate:

1. \( (g \circ f)(5) \)
2. \( (g \circ f)(0) \)
3. \( (f \circ g)(3) \)
4. \( (f \circ g)(4) \)

Let me know if you'd like to upload the graph!

Evaluate each expression using the graphs of y = f(x) and y = g(x) shown below.
a) (g ∘ f)(5)
b) (g ∘ f)(0)
c) (f ∘ g)(3)
d) (f ∘ g)(4)

This guide explains how to evaluate composite functions, such as (g ∘ f)(x) and (f ∘ g)(x), using the graphs of y = f(x) and y = g(x). Suitable for students in Grades 9-12, this problem focuses on function composition and graphical analysis.

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