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# 2.7_bzca5e - Section 2.7 Inverse Functions Inverse...

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Section 2.7 Inverse Functions

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Inverse Functions
The function f is a set of ordered pairs, (x,y), then the changes produced by f can be “undone” by reversing components of all the ordered pairs. The resulting relation (y,x), may or may not be a function. Inverse functions have a special “undoing” relationship.

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1:1 Functions are a subset of Functions. They are special functions where for every x, there is one y, and for every y, there is one x. Relations Reminder: The definition of function is, for every x there is only one y. Functions 1:1 Functions Inverse Functions are 1:1

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Inverse Functions Let's suppose that f(x)=x-300 and g(x)=x+300 then f(g(x))=(x+300)-300 f(g(x))=x Notice in the table below how the x and f(x) coordinates are swapped between the two functions. x f(x) 1200 900 1300 1000 1400 1100 x g(x) 900 1200 1000 1300 1100 1400
Find f(g(x)) and g(f(x)) using the following functions to show that they are inverse functions. x-2

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2.7_bzca5e - Section 2.7 Inverse Functions Inverse...

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