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MathDad72Best ResponseYou've already chosen the best response.1
y=(1/3)x2 Switch y&x and solve x=(1/3)y2
 one year ago

MathDad72Best ResponseYou've already chosen the best response.1
So what is the next step you would do?
 one year ago

MathDad72Best ResponseYou've already chosen the best response.1
So we want to get y by itself. Lets add 2 to each side.
 one year ago

MathDad72Best ResponseYou've already chosen the best response.1
\[x+2 = \frac{ 1 }{ 3 }y\]
 one year ago

MathDad72Best ResponseYou've already chosen the best response.1
Does that make sense?
 one year ago

MathDad72Best ResponseYou've already chosen the best response.1
So how will we now "move" the 1/3?
 one year ago

Fall1213Best ResponseYou've already chosen the best response.0
Okay. f(x)=1/3x2 Take f(x) = y y = 1/(3x  2) y*(3x  2) = 1 3xy  2y = 1 1  2y=  3xy (1 + 2y) = 3xy 1 + 2y = 3xy (1 + 2y)/y = 3x (1 + 2y)/3y = x Lastly, replace y with x, we have: (1 + 2x)/3x = y Which is the inverse.
 one year ago

Fall1213Best ResponseYou've already chosen the best response.0
Wait, is it \[F(x) = \frac{ 1 }{ 3x  2 }?\]
 one year ago

Fall1213Best ResponseYou've already chosen the best response.0
Or is it \[F(x) = \frac{ 1 }{ 3 }x  2?\]
 one year ago

MathDad72Best ResponseYou've already chosen the best response.1
Wouldn't it be 3(x+2)=y y=3x+6 \[f ^{1}(x) = 3x+6\]
 one year ago

Katieann16Best ResponseYou've already chosen the best response.0
thats what i got but i got 3x but i see what i did wrong, thank you
 one year ago
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