Question

Given f(2)=3, f(3)=4, f(5)=0, g(2)=5, g(3)=2, g(4)=-1, how do you evaluate f(g(2))?

Answer 1

`f(g(2)) = f(5) = 0`

Explanation:

It's all about taking this one step at a time, and not getting freaked out by the scary-looking composition.

So, given your information, you need to find `f(g(2))`. Let's start by working inside-out, and finding `g(2)`.

It's given that `g(2) = 5`. Now, just plug that back in. This will leave you with `f(5)`.

And of course, it is also given that `f(5) = 0`, so your final answer is simply `0`.

Make sure you understand compositions of functions well -- they will come back in a big way when you start calculus!

Hope that helped :)