;;;;;;;;;;;
;1.43
(define (double f)
(lambda(x) (f (f x))))
;;(((double (double double)) inc) 5) = 5+16 =21
;;;;;;;;;;;;;
;1.42
(define (compose f g)
(lambda(x) (f (g x))))
;;;;;;;;;;;;;;;
;1.43
(define (repeated f n)
(if(= n 1) f
(compose f (repeated f (- n 1)))))
;;;;;;;;;;;;;;;;
;1.44
(define (smooth f)
(lambda(x) (/ (+ (f (- x dx))
(f x)
(f (+ x dx)))
3)))
(define (smooth-n f)
(repeated f n))