How do you know if two polygons are similar?

On traditional maps, earth is represented in a flat plane, or by euclidean geometry. however, a globe is a more accurate model that comes from elliptical geometry.how does a globe represent the fact that there are no parallel lines in elliptical geometry? the equator is not parallel to any other latitudinal lines. the north and south poles are never connected by a geodesic. the geodesics connecting the north and south poles never intersect. the geodesics connecting the north and south poles intersect at both of the poles.

Can someone me and explain..will award brainlest!

Given the functions, fx) = x^2-4 and g(x) = x+ 2, perform the indicated operation. when applicable, state the domain restriction. f(g(x))