Thread: Need help completing a composition of functions table

Please help me with this problem. Show me the steps and explain the process on how to find the missing values in the table. Thank you so much!

Try this.
f(x) = (x+1)^2
g(x) = (x+2)

Thank you for trying to help me. I tried the first row, x = 0 and plugged it into those two formulas you gave me and it came out to be 9.

f(x) = (x+1)^2
g(x) = (x+2)

h(0) = ((0+2) +1)^2 = (2 + 1)^2 = 9 ≠ 5

He didn't say that was the answer! That is a completely different problem. He was just trying to remind you of what f(g(x)) means!

f(g(0))= 5 because, according to the table, g(0)= 2 and then f(2)= 5.
f(g(0))= f(2)= 5

To find f(g(1)), note that g(1)= 0 and f(g(0))= f(1)= 1.

To find f(g(2)), note that g(2)= 1 and f(g(2))= f(1)= 9.

To find f(g(2)), note that g(2)=