Let X = {1, (b) xm} and Y = {y₁, Yn} be finite sets. Determine the number of one to one functions from X to Y.

Consider the following model to grow simple networks. At time t = 1 we start with a complete network with no = 6 nodes. At each time step t > 1 a new node is added to the network. The node arrives together with m = 2 new links, which are connected to m = 2 different nodes already present in the network. The probability II, that a new link is connected to node i is: N(t-1) II¿ = ki - 1 Ꮓ with Z=(k-1) j=1 where ki is the degree of node i, and N(t - 1) is the number of nodes in the network at timet - 1.

Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y whose sum is 23 f(x)= ☐

Let f(x)=x²+2 and g(x)=1-3x. Find each function value: 4) bo