Let f(x)=|x-p|+|x-15|+|x-p-15|, where 0<p<15. Determine the minimum value taken by f(x) for x in the interval p \leq x \leq 15.
Let f(x)=|x-p|+|x-15|+|x-p-15|, where 0<p<15. Determine the minimum value taken by f(x) for x in the interval p \leq x \leq 15.