1. The problem asks to verify if part b, which is $(f \circ g)(1) = 4$, is correct. 2. Recall the definition of composition of functions: $$(f \circ g)(x) = f(g(x))$$ 3. To find $(f \circ g)(1)$, first evaluate $g(1)$, then plug that result into $f$. 4. From the graph description, $g(x)$ is a line with negative slope, likely $g(x) = -x$. 5. Calculate $g(1)$: $$g(1) = -1$$ 6. Now evaluate $f(g(1)) = f(-1)$. 7. The function $f(x)$ is a V-shaped absolute value function with vertex at $(0,2)$, so: $$f(x) = |x| + 2$$ 8. Calculate $f(-1)$: $$f(-1) = |-1| + 2 = 1 + 2 = 3$$ 9. Therefore: $$(f \circ g)(1) = 3$$ 10. The given answer was 4, but the correct value is 3. Hence, part b is not correct; the correct value is 3.