Posted by **Zukii** on Tuesday, March 15, 2011 at 7:32am.

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

- Calculus -
**MathMate**, Tuesday, March 15, 2011 at 8:29am
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.

- Calculus - typo -
**MathMate**, Tuesday, March 15, 2011 at 8:41am
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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