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Thursday, April 14, 2011

Inverse Functions

f(x)= Ix-4I-3

x f(x)
-2 3
-1 2
0 1
1 0
2 1

Inverse: [(3,-2),(2,-1),(1,0),(0,1),(1,2)]
the domain comes the range and the range becomes the domain in inverse functions.

f(x)=Ix-4I-3 GRAPH

-the inverse of a functions graph reflects upon the y=x

g(x)=2x+5
1. Replace function name with y, y=2x+5
2. Switch x and y x=2y+5
3.Solve for y=
y=x-5/2
4. Rename ywith inverse function name g(x)=x-5/2=1/2x-5/2

-If the original function is a function and the inverse of that is a function it is called an original function one to one.

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