Backquote Exercises

1. Rewrite the following functions to use backquote:

   ;;; X is a list, Y and Z are numbers:
   (define (f1 x y z)
     (cons 'a (append x '(b c) (list (+ y 1) (car x) (+ z 1) 'd))))
   
   ;;; x is a number
   (define (f2 x)
     (list 'a x (list 'b (+ x 1) 'c (+ x 2) 'd) 'e (+ x 4))) 
   
   ;;; x is a list
   (define (f3 x)
     (cons x x))
   

2. Rewrite the following functions without backquote:

   ;;; x is a list, y and z are numbers
   (define (f4 x y z)
     `(x y z ,x ,y ,z p d q ,@x ,(+ y z) (+ ,y ,z) ,(cdr x)))
   
   ;;; x is a list
   (define (f5 x)
     `(1 ,@x 2 ,@x 3 ,@x 4))
   
   ;;; x is a number
   (define (f6 x)
     `(x is ,x which is half of ,(* x 2)))