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Suppose the function f has all real numbers in its domain and range and is invertible. Some values of f are given by the following table:

What is the value of f(f(3)) + f(f^{-1}(4)) + f^{-1}(f^{-1}(5))? If there is not enough information to answer this question, enter "NEI".

MIRB16  Jul 22, 2017
 #1
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We know that f(3) = 5.

so f(f(3)) = f(5) = 8.

f(f^(-1)(4)) is just 4.

f^(-1)(f^(-1)(5)):

f^(-1)(5) = 3

f^(-1)(3) = 2

so f^(-1)(f^(-1)(5)) = 2.

Add them up: 8 + 4 + 2 = 14. :D

MaxWong  Jul 23, 2017

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