Maple: how to solving composite function

Question

Here is just an simple example that I want to use Maple to solve: $$h(x)=f(g(x))$$ $$g(x)=2x+1$$ $$h(x)=4x^2+4x+7$$

Find polynomial of $f(x)$

Thanks :)

Answer 1

The desire function is the last output as you see. Thanks.

Answer 2

For fun,

> h:=x->4*x^2+4*x+7:
> g:=x->2*x+1:

> rsolve( f(g(x)) = h(x), f(x) );

                                 2
                                x  + 6