Golden Ratio by Fixed Point of a Function

The golden ratio is a fixed point of the transformation x 1 + 1/x. The code below uses this to compute it.

(define tolerance 0.00001)
(define (fixed-point f first-guess)
(define (close-enough? v1 v2)
(< (abs (- v1 v2)) tolerance))
(define (try guess)
(let ((next (f guess)))
(if (close-enough? guess next)
next
(try next))))
(try first-guess))
(define f (lambda (x) (+ 1 (/ 1 x))))
(fixed-point f 1.0)