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in this video were going to talk about how to evaluate composite functions using tables so lets start with this expression what is the value of this expression what does that expression even mean f which is written first is on the outside g which is written second is on the inside so what appears to look like fog is really f of g of 2. so what we need to do first is evaluate the function on the inside what is g of 2 so when x is 2 what is the value of g here we see x is 2 and the value of g is 3. so that means that g of 2 is equal to 3. so were going to replace g of 2 with 3. so were going to have f of 3. so now when x is 3 what is the value of f when x is 3 we can see that f is equal to negative 4. and so that is the answer for this problem f of g of 2 is equal to -4 and thats how you solve it now lets try another example but first let me clear away a few things so go ahead and try this g of f of one feel free to take a minute and use the table to answer that one the first thin