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Mathematics 15 Online
OpenStudy (christos):

Inverse functions, Is this correct or no?

OpenStudy (christos):

hartnn (hartnn):

u= e^-x right ? so, du = -e^-x where did negative sign go ?

OpenStudy (christos):

hm

OpenStudy (christos):

so its the same thing but with swapped signs at the final answer ?

hartnn (hartnn):

e^ln x = x

OpenStudy (christos):

How do I use that ? :/

OpenStudy (haseeb96):

For Example: - there is two mirror when you stand on the first mirror than your whole body is coming in that mirror but in second mirror that the whloe first mirror and your image is also seen in that mirror this the inverse function

hartnn (hartnn):

wow, never thought i that way....but we r not talking about inverse fn, even though the Q says so...christos has an habit of writing inverse function everywhere :P

OpenStudy (christos):

:D

hartnn (hartnn):

e^{ln (2/sqrt 3)} = 2/sqrt 3 so whats sin inverse of (sqrt 3/2) ??

OpenStudy (christos):

pi/3 !

OpenStudy (christos):

but .... why this time we placed the limits AFTER replacing u ? I thought it was Before replacing u ?

OpenStudy (christos):

also its e^(-x) not e^x

hartnn (hartnn):

we can do it either way...if you already changed the limits, then forget you do not use earlier limits, and if you have not changed the limits, do a re substitution and use earlier limits e^-x = 1/e^x

OpenStudy (christos):

Why did you swap these http://screencast.com/t/HJvlnm1MOwVm ?

OpenStudy (christos):

nvm I got it -_-

hartnn (hartnn):

yeah, e^-x was there, so 1/e^x so num and denom swapped

hartnn (hartnn):

so whats sin invers of 1/2 ?

OpenStudy (christos):

im sorry but idk :(

OpenStudy (christos):

that's my table http://screencast.com/t/nCrWNwkY

hartnn (hartnn):

i can see a 1/2 there in sin theta row

OpenStudy (christos):

how silly of me -_- it's pi/6

hartnn (hartnn):

lastly, pi/3-pi/6 = ... is your final answer :)

OpenStudy (christos):

Pheu thankss

hartnn (hartnn):

welcome ^_^

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