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anonymous
 one year ago
if f(x)=5x13 than f^1(x)=?
anonymous
 one year ago
if f(x)=5x13 than f^1(x)=?

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freckles
 one year ago
Best ResponseYou've already chosen the best response.1the first step is to solve y=5x13 for x.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1For example, I bet you know how to solve 5=5x13 for x. You would add 13 on both sides right? 5+13=5x then divide both sides by 5 (5+13)/(5)=x just do the same thing here but instead of 5 you have y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I would add 13 to both sides and divide both sides by 5 which i guess would leave me with 5=x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I don't understand how to do the same with y though

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436928354040:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1first add 13 to both sides dw:1436928386487:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that is done to cancel out the '13' on the right side dw:1436928424337:dw since 13 and +13 add to 0. The 0 goes away

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1after adding 13 to both sides, we now have y+13 = 5x with me so far?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1436928497040:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the next step is to undo the "5 times x" so we divide both sides by 5 which will isolate x dw:1436928547068:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.15 divided by itself gives 1 1 times x = x, so the '1' goes away leaving just x behind dw:1436928578962:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1once we get \[\Large x = \frac{y+13}{5}\] we swap x and y to get \[\Large y = \frac{x+13}{5}\] and this is the inverse. We can write that inverse as \[\Large f^{1}(x) = \frac{x+13}{5}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you for your help

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're welcome
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