Questions: Function Composition Using Graphs Use the graphs for f(x) and g(x) to evaluate the expressions below. Write your answer as an integer or a reduced fraction. f(g(-3))= g(f(-4))=

Function Composition Using Graphs Use the graphs for f(x) and g(x) to evaluate the expressions below. Write your answer as an integer or a reduced fraction. f(g(-3))= g(f(-4))=
Transcript text: Function Composition Using Graphs Use the graphs for $f(x)$ and $g(x)$ to evaluate the expressions below. Write your answer as an integer or a reduced fraction. $f(g(-3))=$ $\square$ \[ g(f(-4))= \] $\square$
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Solution

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Solution Steps

Step 1: Find g(-3)

Looking at the graph of g(x), when x = -3, g(-3) = 0.

Step 2: Find f(g(-3))

Since g(-3) = 0, we need to find f(0). Looking at the graph of f(x), when x = 0, f(0) = 0. Therefore, f(g(-3)) = f(0) = 0.

Step 3: Find f(-4)

Looking at the graph of f(x), when x = -4, f(-4) = -4.

Step 4: Find g(f(-4))

Since f(-4) = -4, we need to find g(-4). Looking at the graph of g(x), when x = -4, g(-4) = 2. Thus, g(f(-4)) = g(-4) = 2.

Final Answer

f(g(-3)) = 0 g(f(-4)) = 2

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