2 min DI

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9 Answers

13
Avik ·

Img not visible, Che.

1
Che ·

i m able to see it

neways then see this-

http://is.gd/cfY9k

1
Ricky ·

1
Ricky ·

1
Che ·

wow man

i bet this guy isnt in 11 th or 12th

and ya ans is 0

but its much simpler .....both fuction r inverse of each oder....so ?

62
Lokesh Verma ·

even i bet that once and lost :P

:D

Yeah that is the right way...

"They are inverse of each other"

1
Ricky ·

Consider ,

Domain - { - 1 , 1 }

Range - { 0 , 1 }

Now , consider the other integral ,

Domain - { - ∞ , 1 }

Range - { - ∞ , ∞ }

The domain of the inverse funtion should be equal to the range of the parent function and vice - versa ,

and this holds for any function having an inverse .

But , here that doesn't hold . So are these functions inverses of each other ?

No . Actually , the inverse of .

Hence , the argument given by Che is not correct .

39
Pritish Chakraborty ·

Well....

fof-1(x) = x [My favourite property :P]

=> (1 - (f-1(x))4 )17 = |x|
=> 1 - (f-1(x))4 = |x|7
=> (1 - |x|7)1/4 = f-1(x)

I guess he has a point. This property must hold for all functions and their inverses, and for it to hold here x must be non-negative as the LHS is also non-negative.

341
Hari Shankar ·

@Ricky, if you restrict the domain then it is true that the functions are inverses of each other.

See http://www.goiit.com/posts/list/integration-sir-please-reply-67432.htm last method for some elaboration

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