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the function f(x) is defined by the graph below and the function g(x) is defined by the formula g(x)=-2x-5. find the value of f(g(3)). show the work that leads to your final answers.

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MrRoyal

A composite function combines two or more function to form a new one.

The value of f(g(3)) is [tex]\mathbf{f(g(3)) = -16}[/tex]

The graph of f(x) is not given, so I will provide a general explanation.

The given parameter is:

[tex]\mathbf{g(x) = -2x - 5}[/tex]

To calculate f(g(3)), we start by calculating g(3)

So, we have:

[tex]\mathbf{g(3) = -2 \times 3 - 5}[/tex]

[tex]\mathbf{g(3) = -6 - 5}[/tex]

[tex]\mathbf{g(3) = -11}[/tex]

f(g(3)) becomes

[tex]\mathbf{f(g(3)) = f(-11)}[/tex]

The next step is to check the graph of f(x) for the value of f(-11).

Using the attached graph,

[tex]\mathbf{f(-11) = -16}[/tex]

Hence:

[tex]\mathbf{f(g(3)) = -16}[/tex]

Read more about composite functions at:

https://brainly.com/question/10830110

View image MrRoyal
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