6. Consultar la aplicación de los números imaginarios en la vida real, subir un ejemplo.

Consider the functions \( f(x)=3 x-12 \) and \( g(x)=\frac{x}{3}+4 \). (a) Find \( f(g(x)) \). (b) Find \( g(f(x)) \). (c) Determine whether the functions \( f \) and \( g \) are inverses of each other

Investments Compute the specified quantity. A corporate bond paying \( \$ 1,000 \) after 18 weeks earns \( 0.04 \% \) simple interest per week. How much did it cost to buy?

Find the derivative of the function \( f(x)=\log _{5}\left(2 x^{2}+4\right) \)

Each side of a square is increasing at a rate of \( 5 \mathrm{~cm} / \mathrm{s} \). At what rate (in \( \left.\mathrm{cm}^{2} / \mathrm{s}\right) \) is the area of the square increasing when the area of the square is \( 49 \mathrm{~cm}^{2} \) ? Need Help?

Research the two civilizations that you did not describe in this week's Discussion Board. First, discuss why you think the two civilizations developed where they did. o For example, why would civilization develop in the northeast corner of Africa but not farther west? o What role did rivers play in the development of civilization? o Was climate a factor in early civilizations? Compare and contrast the two civilizations you have chosen in these three areas: political structures, writing, and the organization of their society.