I need a refresher on how to do this. Unfortunately I don't have my notes with me. Problem is attached.

Question

anonymous · Answer

attachment

swissgirl · Answer

Ok for starters g(2) means solve the equation when x=2
So which equation would you use when x=2?

swissgirl · Answer

@orbie R u there?

anonymous · Answer

No idea is like asking that if you plug 2 into the left side of the equation, it must equal whatever is on the right side of the equation? =/

swissgirl · Answer

well if you look at G(x) it gives you 4 equations  and after each equation it says when you should use each equation.
The first equation should be used when x is less than or equal to 1
The second equation should be used when x is less than 1 and when x is less than or equal to 3 which basically only includes 2 and 3
The third equation is when x is inbtwn 3 and 6 but not including 3 or 6 so this basically means when x equals 4 or 5 you use the third equation
The last equation is used when x is equla to 6 or greater than 6
So which equation would we use when x=2?

anonymous · Answer

the second equation $$\left| x-12 \right|$$

swissgirl · Answer

correct 
So g(2) means we replace our x with 2
g(2)=|2-12|
g(2)=|-10|=10
So g(2)=10

anonymous · Answer

ooooh okay I understand now. Thank you!

swissgirl · Answer

Your welcome :)