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anonymous
 one year ago
if f(x)=6x+6, then f^1(x)
anonymous
 one year ago
if f(x)=6x+6, then f^1(x)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0solve \[x=6y+6\] for \(y\) in two steps

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.0that's what I was thinking.. swap the variables.. solve for y and then replace y with the f inverse notation .

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0at least that is the math teacher way the thinking way is to recognize that\[f(x)=6x+6\] means a) multiply by \(6\) then b) add \(6\) inverse will do the opposite operations in reverse order

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but solving \[x=6y+6\] for \(y\) takes two steps, so it is just as quick as thinking

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you work through it with me?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0please? all my attempts arent working out

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Just follow these easy steps: To find the inverse: Replace f(x) with y Switch x's and y's, so put x where y is and x where y is. Solve for y Replace y with f^1(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know the steps but I usually get stuck when solving for y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[y=6x+6 \] \[x=6y+6\] what would your first step be to solving for y?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Try your best, don't be afraid to make mistakes

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0get rid of + 6 by subtracting six from both sides

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0There you go, good job, so we have \[x6 = 6y\] now what?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0divide by negative 6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Good! \[y = \frac{ (x6) }{ 6 }\] you may simplify that now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0As in you can distribute the negative sign, and get \[y = \frac{ x+6 }{ 6 } \implies \frac{ 6x }{ 6 }\] so what's our final step?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What should we replace y with :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the rule for negative functions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1436932582839:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f^{1}(x) = \frac{ 6x }{ 6 }\] yup :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not so bad right? Just have to try it and you'll start getting it!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it helps to talk it out, I probably would've taken a lot longer to get that on my own

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think that is the best way of learning to :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks for your help, i understand it better, not completely yet but making progress

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No problem, take care!
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