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## #1 2017-01-01 17:28:19

Zeeshan 01
Member
Registered: 2016-07-22
Posts: 648

### Inverse of function

What is inverse of a function please explain me with graph after this I post questions

MZk

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## #2 2017-01-01 22:13:08

bob bundy
Registered: 2010-06-20
Posts: 8,354

### Re: Inverse of function

hi

It is a second function that maps each element in the codomain back to the element in the domain.

eg.  If f(x) = 2x then the inverse function is x/2

eg.  If g(x) = sin(x) then the inverse is asin(x) or sometimes written arcsin(x)

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #3 2017-01-01 22:42:34

Zeeshan 01
Member
Registered: 2016-07-22
Posts: 648

How??? Proov

MZk

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## #4 2017-01-01 23:15:32

bob bundy
Registered: 2010-06-20
Posts: 8,354

### Re: Inverse of function

It is how an inverse function is defined.  Say the function does this:

Domain                             Range
3  ------------------------>   7
8  ------------------------>   2
9  ------------------------>   0

Then the inverse function will be:

Domain                             Range
7  ------------------------>   3
2  ------------------------>   8
0  ------------------------>   9

So you just have to look at which number maps onto which and reverse the direction of the mapping.

Please post a question and hopefully it will become clearer.

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #5 2017-01-02 04:38:11

Zeeshan 01
Member
Registered: 2016-07-22
Posts: 648

### Re: Inverse of function

That not a Proov that only word explaination of inverse

MZk

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## #6 2017-01-02 05:55:09

bob bundy
Registered: 2010-06-20
Posts: 8,354

### Re: Inverse of function

Sorry but I do not know what you want to be proved.  What question?

Enter a function (say 2x) and a second function, x/2.  Try out different pairs such as 5x and x/5; x^2 and sqrt(x); sin(x) and asin(x).

What do you notice?

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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## #7 2017-02-22 01:04:18

Freiza
Member
Registered: 2017-02-21
Posts: 6

### Re: Inverse of function

Inverse of a function is the function which when combined to original function negates its operation.
f(x) o f(x)^-1 = f(x)^-1 o f(x) = identity operation (same as if no operation was performed) = x

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