Question

If f(x)=x^2 and g(x)=x+6, find g(f(0))

Answer 1

there's another notation for that problem that I think it's easier to see the process g o f

this means you put your f(x) function inside of your g(x)
whenever you see an x in your function you put that f(x) inside the g(x)
then you evaluate when x = 0

Answer 2

so my f(x) = x^2 and g(x)=x+6
you put x^2 from f(x) inside the g(x) function

(x^2)+6 is your g o f
now evaluating at 0 we have
(0^2)+6=0+6=6

Answer 3

tip: read these types of problems from right to left

g o f

means place your f(x) function into the g(x) function

f o g
place your g(x) function into the f(x) function

should you have f o f or g o g
it means place the f(x) function within itself... similarly place the g(x) within itself

if you have a problem like f o g o h
you must do g o h first and then
use that result to do

f o g o h