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))?

1 Answer
Darshan Senthil
Oct 29, 2017

#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 :)

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