The following code works fine:

# g is the function that returns the square of a number
g <- function(y) y^2

# f1 is a function that takes one function
# as argument, and returns another function
f1 <- function(f) function(x) f(x+1) - f(x)

# h(x) is g(x+1) - g(x) or 2x + 1
h <- f1(g)

# h(1) = 3
# h(2) = 5
# h(3) = 7

So far, so good. But why:

h

shows:

function(x) f(x+1)-f(x)
<environment: 0264BE84>

I don't get it. h should show function(x) g(x+1)-g(x)
or something like that.

Alberto Monteiro

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