Is there an easy way to combine pure functions into a single pure function? For example, say I have

```
f = #1^2 &;
g = #1 - 2 &;

```

and I want to define a new pure function `h` that is the difference of the two functions (as currently defined, so that `h` will not change if `f` or `g` are redefined). `h = f - g` doesn't work because it doesn't combine them into a single function. The best I've been able to come up with is

`h = Evaluate[f@# - g@#] &`

but this seems a bit hack-ish. Is there a more natural way to combine them?

**Edit:** I was looking for something where Mathematica performs its automatic simplifications, just as if we'd had `f = x^2; g = x - 2; h = f - g`, but for pure functions.