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Question
f(x)= -ln(x-3)
a) find the inverse function of f^-1(x)
b) graph f and f^-1 on same axes and draw any asymptotes
c) domain of f^-1
d) range of f^-1
e) find f'(x)
f) graph f'(x) on same axes
a) To find inverse function , we switch positions of x & y :
x=-Ln(y-3) -> -x=Ln(y-3) -> e^(-x)=e^[Ln(y-3)] -> e^(-x)=y-3 ->
y=e^(-x)+3 & this is the inverse function.
c) Domain f^-1 : All x
d) Range f^-1 : All x
e) f'(x)=-1/(x-3)=1/(3-x)
Alon.
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Answers by Expert:
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".
Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.
Education/Credentials
M.A in Mathematics & Bs.c in Electronics.
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