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zinala · Sep 12, 2010, 06:28 PM

determine the three functions that made this answer... f(x),g(x),h(x)?

Unknown008 · Sep 13, 2010, 05:29 AM

I think that there could be more than one solution.

But what comes to my mind immediately is:

$f(g(h(x))) = sin^2(x+1)$

$f(x+1) = sin^2(x+1)$

So,

$f(x) = sin^2(x)$

and $g(h(x)) = x+1$

Then, $g(x) = x+1$

which means that $h(x) = x$

zinala · Sep 13, 2010, 09:17 AM

thanks but I got the answer it is
h(x)= x+1
g(x)= sin (x)
f(x)= x^(2)

Unknown008 · Sep 13, 2010, 09:22 AM

Yes, this too is a solution. As I told you, there can be many different solutions if no more information is given.

You can try working with what I came up with and you'll get the same thing :)