Divide two function reciprocal functions and find the domain

The video tutorial explains how to divide functions by expressing F(x) over G(x) and simplifying the resulting fraction. It emphasizes the importance of removing fractions from the denominator by multiplying by the reciprocal. The tutorial also covers the multiplication of fractions and simplification, leading to the final step of finding the domain of the function, which includes all real numbers except where x equals zero.

Explain the simplification process of the function F of X divided by g of X.

What is the significance of writing 'dividing by one' in the context of the function?