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About 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.

 
   

You are here:  Experts > Teens > Homework/Study Tips > Calculus > functionns their domain,range

Calculus - functionns their domain,range


Expert: Alon Mandes - 8/4/2008

Question
f(x)=xpower2 -4x for x<2 and f(x)=x-4 for xgreater or equal to 2.g(x)=x-3 for  x <3 and g(x)=xpower2+2x+2 forx greater or equal to 3.FIND i)f+g  ii)f/g

Answer
f+g = h
1. for x<2 h(x)=x^2-3x-3
2. for 3≤x (greater or equal) h(x)=x^2+3x-2
3. for 2≤x<3 h(x)=2x-7

Please notice that in (1) I took the smallest value between 2 & 3
& in (2) I took the greatest value between 2 & 3, to determine the
range.

I will leave it to you , to calculate f/g.

Alon.

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