Calculus

If f(x)=0.5x+3 then what is fofofof? (composite function)

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  1. f∘f∘f∘f
    is the same as
    f(f(f(x)))
    Evaluate the innermost f(x) first, and the next, and the next, and then the outermost.

    For example,
    if f(x)=x^2+1;
    then
    f(f(x))=f(x^2+1)=[x^2+1]^2+1
    f(f(x))=[(x^2+1)^2+1]^2+1

    Post your answer for a check if you wish.

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  2. Sorry, I missed one of the f's:

    f∘f∘f∘f
    is the same as
    f(f(f(f(x))))

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  3. 3x+2

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