Unit 1A

Precalculus

Lesson 2: Function Operations

When buying a new house, there are often several different costs in addition to the purchase price. Consider a new couple looking to buy their first home. In addition to the cost of the house itself, they also have to pay a commission of «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mn»7«/mn»«mi mathvariant=¨normal¨»%«/mi»«/mstyle»«/math» to the real estate agent. If the price of a house is «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»x«/mi»«/mstyle»«/math», it can be represented by the function «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»f«/mi»«mfenced»«mi»x«/mi»«/mfenced»«mo»=«/mo»«mi»x«/mi»«/mrow»«/mstyle»«/math», and the commission can be represented by the function «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»g«/mi»«mfenced»«mi»x«/mi»«/mfenced»«mo»=«/mo»«mn»0«/mn»«mo».«/mo»«mn»07«/mn»«mi»x«/mi»«/mrow»«/mstyle»«/math». The total amount the couple owes is represented by a new function, «math style=¨font-family:Verdana¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»h«/mi»«mfenced»«mi»x«/mi»«/mfenced»«/mrow»«/mstyle»«/math», which is the sum of the original two functions.

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