Question

Find funtion g(x) given that g(g(x)) = 6x-8

Answer 1

oh, what an interesting problem

im going to assume g(x) will have the form
g(x)=ax^b +c
hence g(g(x))= a (ax^b +c) ^b +c

hmmm, no clue

Answer 2

if in a g(x) ax+b format, im almost positive a has to equal root 6.

Answer 3

what is g(g(g(x)))

Answer 4

what is g(g(g(g(x))))

Answer 5

What would the -8 be?

Answer 6

6(6x-8)-8=g(g(g(g(x))))
36x-42-8=36x-50=gggg(x)

Answer 7

yo i solved it. its \[\sqrt{6}x- 2.31918\]

Answer 8

give that a try

Answer 9

g(x)=ax+b form right so we need root6

Answer 10

what i figured is -8=-root6x-x. solved for that and got it

Answer 11

yeah

Answer 12

i just tried it again and it seemed to work

Answer 13

:D good job guys