Let f be a fully$-$connected neural network with input x in R M$,$ P hidden layers

with K nodes per layer and logistic activation functions, and a single logistic out

put. Let g be the same network as f $,$ except we insert another hidden layer with

K nodes that have no activation function $($or equivalently, the identity activation

function$),$ so that g has P $+1$ hidden layers. Denote this new layer L new. Assume

that there are no bias terms for any layer nor for the input. $($Please select one

option for all the following questions.$)$