Function Composition with same Function (f o f)(x) = f( f(x) ) and the Simplify

How to compose a linear function with itself. Substitute the linear function into itself.

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1 Relations, Graphs, and Functions
2 Graphing the Basic Functions
3 Using Transformations to Graph Functions

[TheBluePhoenix]

Even 10 years later, this is so helpful. Thank you!

[rheynakated.generosa]

Thank you! This really helps me a lot!

[jahunkyflores]

Amazing work my man this was super helpful

[jannadolor]

What if f compose of f compose of f is the problem?

[paulekechukwu]

Thank you so much i was trying to look for that same problem f o f

[Sonder_stoic]

My teacher gave me a problem like this and it’s

F(x)= x
—
X+1
How am I supposed to plug f(x) back into itself. It’s creating too many fractions

[heythere]

what if he gives u the solution of f°f(x) and tells u to give him f(x)

[Jeremy]

What if you do have (fof)(x) and you try to find f(x)

[hypno-_-shroom]

I am genuinly curious, what is this actually used for like in real life