SOLUTION: If f (x) = 1/(x + 2), simplify f (f (f (3))).

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Question 182116: If f (x) = 1/(x + 2), simplify f (f (f (3))).
Answer by eperette(173) About Me  (Show Source):
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If f (x) = 1/(x + 2), simplify f (f (f (3)))
f(3) = 1/ (3+2)
f(3) = 1/5
f(f(3))= f(1/5)
f(1/5)= 1/ ((1/5) + 2)
f(1/5)= 1/ ((1/5) + (10/5))
f(1/5)= 1/ (11/5)
f(1/5) = 5/11
f(f(f(3)))= f(5/11)
f(5/11)= 1/ ((5/11)+2)
f(5/11)= 1/ ((5/11)+(22/11))
f(5/11)= 1/(27/11)
f(5/11)= 11/27
therefore:
f(f(f(3)))=11/27