If f(x) = 2x + 1 and g(x) = x² - 3, what is the value of f(g(2))?

For a composition $f(g(2))$, evaluate the inner function first. Compute $g(2) = 2^2 - 3 = 4 - 3 = 1$. Then use that result as the input to $f$: $f(1) = 2(1) + 1 = 3$. A frequent wrong answer is 22, which comes from reversing the order and computing $g(f(2))$: $f(2) = 5$ and $g(5) = 25 - 3 = 22$. Another wrong answer is 1, which stops after computing $g(2)$ and forgets to apply $f$. A third is 5, which is $f(2)$, found by plugging 2 into $f$ directly. Work from the inside out.