# Thread: Find Composite Function Components

1. ## Find Composite Function Components

Find functions f and g such that f (g) = H if H (x) = 1/(x + 1).

2. Originally Posted by symmetry
Find functions f and g such that f (g) = H if H (x) = 1/(x + 1).
Suppose f(x)=1/x, and g(x)=x+1, then:

f(g(x))=f(x+1)

then if y=x+1, we have f(g(x))=f(y)=1/y=1/(x+1),

so H(x)=1/(1+x), as required.

RonL

3. ## ok

Very impressive, Ron.

Tell me, is finding composite function components required in calculus?

4. Originally Posted by symmetry
Very impressive, Ron.

Tell me, is finding composite function components required in calculus?
I don't know I have never followed the US maths course sequence (we
don't/didn't do things that way in the UK). As far as I recall we learned
stuff as it was needed.

Some knowledge of composite functions is needed for the chain rule, but
as far as I recall a formal treatment of composite functions was not needed
in the courses I pursued until the transition to university real analysis (1st

Maybe one of our US helpers will be able to answer your question better.

RonL

RonL

5. ## ok

So, you are from the UK? Interesting.

Thanks!

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