Help with F of X problems, F(x)

I totally forgot about these, i dont even know what the generic problem looks like.

Could some tell me:
-what a problem would like
-the name of these problems
-how to solve these problems
-how to do a g(f(x)) problem

its called function notation

an example could be:

f (x) = x^2 + 2

g (x) = 3x + 1

Find (f (g (x)) when x is 3


So basically, find g (x) first, then the answer you get for that is what you put in for "x" in f (x)

if thats hard for you to get, think of it like this, if the final answer of g (x) is 2, then you put 2 in to the "x" for the second part, f (x).

so like this:

g (x) = 3x + 1
(take the 3 that was given to you, and replace it in the x section)

g (3) = 3 (3) + 1

(solve)

g (3) = 10

(now take the answer 10 and substitute it into the second part of the equation, f (x). )

f (x) = x^2 + 2

f (10) = 10^2 + 2

f (10) = 102.

Now your final answer is 102.

If it asks you g (f (x)) just do the same process as before. Hopefully this helps! :)