Sunday

January 25, 2015

January 25, 2015

Posted by **Scooby16** on Friday, September 23, 2011 at 6:28pm.

1.Assume that the functions f(x) = 1-x and g(x) = 1/x. Describe how the moving companies move people from one address to another.

a.What are all possible addresses that you can move to when taking repeated compositions of the functions f and g?

b.How many possible addresses can you relocate to when using those moving companies? Are they finite? If so, make a list of all the possible new addresses, if your original address is π.

c.If your parents live on address 0, what are all the possible addresses that they can move to by repeatedly composing the two functions?

- calculus -
**Anonymous**, Sunday, September 25, 2011 at 11:18pmf(x) = 1-x

f(f(x)) = 1 - (1-x) = x

g(x) = 1/x

g(g(x)) = 1/(1/x) = x

So, in both cases, there are only two possible addresses available for each real number. Alas, g(0) is undefined, so it looks like the mover gets lost.

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