Let g(x)=x-3. Find a function f so that f(g(x))=

Let f(x)= . Find a function g so that f(g(x))=

Thanks!

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- Jan 7th 2008, 07:48 AMjohettComposite functions
Let g(x)=x-3. Find a function f so that f(g(x))=

Let f(x)= . Find a function g so that f(g(x))=

Thanks! - Jan 7th 2008, 07:54 AMtopsquark
- Jan 7th 2008, 07:55 AMtopsquark
- Jan 7th 2008, 11:31 AMSoroban
Hello, johett!

Quote:

Let

Find a function so that: .

We want: .

. . must transform into

This can be done by: .adding 3 and squaring.

Therefore: .

Quote:

Let .

Find a function so that: .

We want: .

Therefore: .