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anonymous
 one year ago
i need some help
anonymous
 one year ago
i need some help

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IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2dw:1441715548469:dw

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2have you got your equation for \(f^{1}(x)\) yet??

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0idk how to do anything with it my teacher never taught me how

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2first, we'll rewrite your equation as y = 2x  6, so this takes in x values and returns y values now switch that around so that it says x = ... ie give me an equation that takes in y values and returns x values [you'll see what the point of this is when we're done]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so takes in is the 2x6 part and puts out is y=

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2yes now switch it around so it says x = ....

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2example y = 2x +1 x = y/2  1/2

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2example y = 9x  3 x = (1/9) (y+3)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2example i start with y = 2x +1 i switch around to get x = y/2  1/2 example i start with y = 9x  3 i switch around to get x = (1/9) (y+3) you are starting with y = 2x  6 can you switch it around in same way?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2i can do the first example is steps, if that helps??!!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats what i thought

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2x=y/22/1 for you question?!?!?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2i'll try this 1st example \(y = 2x +1\) add 1 to each side \(y1 = 2x +11\) so \(y1 = 2x\) divide each side by 2 \(y/21/2 = 2x/2\) so \(y/21/2 = x\) just switch left hand and right hand sides around \(x = y/21/2\) and that is done

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and thats what u want me to find for my prob

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.22nd example \(y = 9x  3\) add 3 to each side \(y +3= 9x  3+3\) so \(y +3= 9x \) divide each side by 9 \((1/9)(y +3)= 9x/9\) so \((1/9)(y +3)= x\) switch around \(x=(1/9)(y +3)\)

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2yes if you truly have not been shown how to do this algebra, then you should really not be trying to do inverse functions...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i must have missed that class but yeah

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2well copy what i did and see how you go.

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2very good we can simplify a little, ie the 2/6, right?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2i'll do this bit as it's just notation, important notation but you havealready done the hard bit you recall we took your function \( f(x) = 2x  6\) and rewrote as \( y = 2x  6\) so we could manipulate it a bit easier well we now take your solution for the inverse ie \( x=y/2+3\) and we rewrite it as \(f^{1}(x) =x/2 + 3 \) so or example \(f(3) = 0\), and hey presto \(f^{1}(0) = 3\)!!! so you now take \(f^{1}(x) =x/2 + 3 \) and answer the question

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2they want \(f^{1}(2)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0alright i followed and understood upto f(3)=0 and then i got lost

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2no worries function \(f(x) = 2x  6 = 0 \implies f(3) = 2(3)  6 = 0\) inverse function \(f^{1}(x) = x/2 + 3 \implies f^{1}(0) = 0/2 + 3 = 3\)!! so we have function f and its inverse \(f^{1}\). they reverse each other plugging into \(f^{1}(x) = x/2 + 3\) for x = 2 \(f^{1}(2) = (2)/2 + 3\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay i think i get it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so doo i solve f−1(2)=(2)/2+3

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2\[f^{1}(2) = \frac{(2)}{2} + 3\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what do i do with f^1(2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so i just solve the answer part

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.2dw:1441720473828:dw
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