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Mathematics 13 Online
OpenStudy (elisuzsmith):

what is the inverse of the relation described by y=(2x-3)^2

OpenStudy (anonymous):

before you can find the 'inverse' of the equation, you have to make sure it is a 'one to one' function, do u know how to do this? and is there a graph of this function for you to look at?

OpenStudy (elisuzsmith):

I have y=square root (x) +3 all over 2, is this correct?

OpenStudy (anonymous):

that is correct for the inverse funtion, yep ^_^ but only functions that are 'one to one' can have an inverse function. so we need to figure out if the original function is 'one to one' becuase if it is not. the answer would be, 'no solution'

OpenStudy (elisuzsmith):

I have the graph, how do I know if it's no solution?

OpenStudy (elisuzsmith):

should there be + or - in front of it

OpenStudy (anonymous):

do the 'horizontal line test' sound familiar?

OpenStudy (anonymous):

@elisuzsmith

OpenStudy (anonymous):

this is what the graph looks like right? |dw:1384983409483:dw|

OpenStudy (elisuzsmith):

there just needs to be plus or minus in front of the square root of x

OpenStudy (anonymous):

sorry, my notification's aren't working today

OpenStudy (anonymous):

the horizontal line test says that if the graphed function intersects a 'hand-drawn' horizontal line more than once, the function is not 'one to one' therefore, it can not have an inverse function. |dw:1384986110459:dw|

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