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Calculus/Inverse of a function

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Expert: Alon Mandes - 5/25/2010


Question
Find a formula for the inverse of the function:
f(x)=(6)^(6)^x

f-1(x)= ??

Answer
Ok, we know that : y=6^6^x . Let's find x as function of y :
To do so, we perform Log{base 6} for both sides of the equation :
Log(y)=Log(6^[6^x]) .  We use the identity : Log(6^a)=a . We get :
Log(y)=[6^x] . Now we perform Log{base 6} another time :
Log(Log(y))=x .
So, our inverse function will be :
f-1(x)=Log(Log(x)) . "Note that Log is taken for base 6" .

Alon.

Calculus

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Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

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Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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