# 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

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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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