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Katieann16
 2 years ago
Best ResponseYou've already chosen the best response.0if f(x)= 1/x+2, what is f^1(x)?

rorytsm
 2 years ago
Best ResponseYou've already chosen the best response.0f(x)=y=1/x+2 you need to solve for x with these inverse problems which just means rearranging your equation to isolate x on one side of the equations since y=1/x+2 your next step would be to subtract the 2 y2=1/x your next step would be to multiply by x x(y2)=1 then divide by y2 x=1/(y2)

Katieann16
 2 years ago
Best ResponseYou've already chosen the best response.0i got \[f^1(x)=\frac{ 1 }{ x2 }\]

rorytsm
 2 years ago
Best ResponseYou've already chosen the best response.0y should be on the bottom 1/y2

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1\[\large f(x)=\frac{1}{x+2}\] \[\large g(x)=\frac{1}{x}+2\] Which one is the correct format, f or g? :)

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1\[\large \text{Let}\quad f(x)=y, \qquad \rightarrow \qquad y=\frac{1}{x+2}\]Taking the inverse gives us,\[\large x=\frac{1}{y+2}\]Multiply both sides by (y+2), giving us,\[\large x(y+2)=1\]Divide both sides by x,\[\large (y+2)=\frac{1}{x}\]Subtract 2 from each side,\[\large y=\frac{1}{x}2\]Rewrite with inverse notation,\[\large f^{1}(x)=\frac{1}{x}2\]

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1I came up with something slightly different katie :D lemme know if those steps make sense.
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