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Suppose f is a one-to-one function with domain A andrange B. How is the inverse functiondefined? What is the domain and range of the inverse function

Question

Suppose f is a one-to-one function with domain A and
range B. How is the inverse function
defined? What is the domain and range of the inverse function

check_circleAnswer
Step 1

To define the inverse of a function (assuming its existence)

Step 2

The inverse of f can only be defined if f is one-one . 

f:A- B.a one-one fiunction
Let C = f(A)= {y€B3x, with y= f(x)}
(C image of f)
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f:A- B.a one-one fiunction Let C = f(A)= {y€B3x, with y= f(x)} (C image of f)

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Step 3

Note that the inverse of f is defined (in general ...

Define f CAby
*(y) = x. 1f f(x)= y,xE A
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Image Transcriptionclose

Define f CAby *(y) = x. 1f f(x)= y,xE A

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Tagged in

Math

Calculus

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