From my understanding this is a type question of discrete math which builds on proof by induction. To gain a better understanding of the logic can you please provide tutoring on:

How does the

Letting:f : N Nbe a function with the property that

f(1) = 2 and f(a + b) = f(a) f(b) for all a, b is an element of N. What is the induction that f(n) = 2n for all n is an element of N.