Help
Suppose H(x)=(6x-5)^2
Find the 2 functions f and g such that (f o g)(x)=H(x)

Neither function can be the identity function.
(There may be more than one correct answer.)

Question

Help
Suppose H(x)=(6x-5)^2
Find the 2 functions f and g such that (f o g)(x)=H(x)

Neither function can be the identity function.
(There may be more than one correct answer.)

campbell_st · Answer

why not g(x) = 6x - 5

             f(x) = (x)^2

anonymous · Answer

oh okay!

anonymous · Answer

I hope your right :D

campbell_st · Answer

well here is the method

what is f(g(x)) = (g(x))^2
                     = (6x - 5)^2

anonymous · Answer

right

campbell_st · Answer

its means find a function g(x) substitute it into a function f(x) so that you get 

  H(x) = (6x - 5)^2

you could have g(x) = (6x - 5)^2/3

                        f(x) = x^3

      you'll get the same answer.

anonymous · Answer

but you said x^2 not x^3

anonymous · Answer

oh nevermind haha. that was an example right?

campbell_st · Answer

correct.... thats why the question says... there may be more than 1 solution.

anonymous · Answer

okay so the answer is g(x) =6x-5 and f(x) x^2... thanks