IMathAS-libretexts

Function Composition Application
The function $\displaystyle {D}{\left({p}\right)}$ gives the number of items that will be demanded when the price is $\displaystyle {p}$ . The production cost, $\displaystyle {C}{\left({x}\right)}$ is the cost of producing $\displaystyle {x}$ items. To determine the cost of production when the price is $\displaystyle \${9}$ , you would: Solve $\displaystyle {C}{\left({D}{\left({p}\right)}\right)}={9}$ Solve $\displaystyle {D}{\left({C}{\left({x}\right)}\right)}={9}$ Evaluate $\displaystyle {D}{\left({C}{\left({9}\right)}\right)}$ Evaluate $\displaystyle {C}{\left({D}{\left({9}\right)}\right)}$

Function Composition Application

The function $\displaystyle {D}{\left({p}\right)}$ gives the number of items that will be demanded when the price is $\displaystyle {p}$ . The production cost, $\displaystyle {C}{\left({x}\right)}$ is the cost of producing $\displaystyle {x}$ items. To determine the cost of production when the price is $\displaystyle \${9}$ , you would:

Solve $\displaystyle {C}{\left({D}{\left({p}\right)}\right)}={9}$
Solve $\displaystyle {D}{\left({C}{\left({x}\right)}\right)}={9}$
Evaluate $\displaystyle {D}{\left({C}{\left({9}\right)}\right)}$
Evaluate $\displaystyle {C}{\left({D}{\left({9}\right)}\right)}$

Question Help:
Video

License