the process to solving f(g(2)). How is that different than g(f(2))?

Question

Given f(x) = 3x + 2 and g(x) = -2x2+4

Find f(g(2))

What would you do in order to solve? Explain in words the process to solving f(g(2)). How is that different than g(f(2))? 

 

I really don't understand this question or how to do problems like this. I've tried to look online, but don't even know what to search. Thank you for your help!

Answer 1

g(2) = -2(2)² + 4 = -8 + 4 = -4

 

So, f(g(2)) = f(-4) = 3(-4) + 2 = -10.

 

f(2) = 3(2) + 2 = 8

 

So, g(f(2)) = g(8) = -2(8)² + 4 = -128 + 4 = -124