Math Is Fun Forum

envy1987

Member

Registered: 2014-09-25

Posts: 6

Function Composition

Hi ,

I just having my DISCRETE MATHEMATICS course for this semester and I do facing on solving below question.

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F and G is a positive integer

f : N →R
g : N →R

Find the composition   f ° g  and  g ° f.

f(n) = e^n    ,
g(n) = e^(e^n )

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Did the answer below fulfill the question need?

g(f(n)) = e^(e^(e^n))
f(g(n)) = e^(e^(e^n))

Last edited by envy1987 (2014-09-25 01:17:40)

Olinguito

Member

Registered: 2014-08-12

Posts: 649

Re: Function Composition

Did the answer below fulfill the question need?

g(f(n)) = e^(e^(e^n))
f(g(n)) = e^(e^(e^n))

Your answers are correct. In this particular question f○g and g○f are equal but it should be borne in mind that this is not always the case (and frequently it is not).

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Bassaricyon neblina

envy1987

Member

Registered: 2014-09-25

Posts: 6

Re: Function Composition

Thank a lot for your fast reply ^.^