Question #N286
If $f(x) = \sqrt{x-3}$ and $g(x) = x^2 + 1$, what is the value of $f(g(2))$?
A. 1
B. 2
C. 3
D. 4
Correct Answer is: B
First find the value of $g(2)$: $g(2) = 2^2 + 1 = 5$. Now we find the value of $f(5)$: $f(5) = \sqrt{5 - 3} = \sqrt{2} = 2$. So the value of $f(g(2))$ is 2.