Equation defined by function

by **Guest** » Tue Nov 03, 2020 6:50 pm

Hello! I have this homework task and i cant find a proper solution to it. I found that x = 0 is a root but i wonder if there are more than just that.
Any help would be appreciated. Thanks in advance!

: function.png (17.66 KiB) Viewed 1366 times

by **Guest** » Wed Nov 18, 2020 7:53 am

You are told that [tex]f_1(x)= |x|- 2[/tex] and that [tex]f_{n+1}(x)= f_1(f_n(x))[/tex].

Okay, [tex]f_2(x)= ||x|- 2|- 2[tex]. What are [tex]f_3(x)[/tex], [tex]f_4(x)[/tex], etc.? Do you see a pattern?

Equation defined by function

Equation defined by function

Re: Equation defined by function

Who is online