If you have

$\displaystyle f(x)=x^{2}+3$

I know f(x) just means the function of x, or just y.

But take this:

If

$\displaystyle \frac{f(x)}{x-k}$

then

$\displaystyle r=f(k)$

Where r= remainder

This makes no since to me. some function divided by x-k yields the function of k.

How do you come up with a function?

Edit: normally f(x),f(c),f(g) are all put in the place of possible functions, but this one is not.