1. The problem asks to find $f(g(3))$ given the functions $f(x) = 3x - 7$ and the graph of $g$.
2. From the graph, find the value of $g(3)$. Observing the graph, at $x=3$, $g(3) = 0$.
3. Substitute $g(3) = 0$ into $f(x)$ to find $f(g(3))$:
$$f(g(3)) = f(0) = 3 \cdot 0 - 7 = -7$$
4. Conclusion: The value of $f(g(3))$ is $-7$.
Function Composition Ec5D63
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.