Task

Create a function, compose,   whose two arguments   f   and   g,   are both functions with one argument.



The result of compose is to be a function of one argument, (lets call the argument   x),   which works like applying function    f    to the result of applying function    g    to    x.



Example

 compose(f, g) (x) = f(g(x))



Reference: Function composition

Hint: In some languages, implementing compose correctly requires creating a closure.




/* built-in */
load(to_poly_solver);
 
compose_functions([sin, cos]);
/* lambda([%g0],sin(cos(%g0)))*/
 
/* An implementation, to show a use of buildq */
compose(f, g) := buildq([f, g], lambda([x], f(g(x))));