If f(2) = 9, and g(x) = f(x-3) + 4, what is the value of g(5)?

Evaluate $g$ at 5 by plugging 5 into its definition: $g(5) = f(5 - 3) + 4 = f(2) + 4$. We are told $f(2) = 9$, so $g(5) = 9 + 4 = 13$. The function $g$ is just $f$ shifted 3 units right and 4 units up, so the point $(2, 9)$ on $f$ becomes $(5, 13)$ on $g$. Common wrong answers: 9 comes from forgetting the $+4$, and 17 comes from using $f(8)$ rather than $f(2)$ or adding the shift in the wrong direction ($x + 3$). A third wrong answer, 6, comes from adding the shifts to the output incorrectly.