lisa123
  • lisa123
f(x)=x+1/x-3 find f(x)^-1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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marcelie
  • marcelie
|dw:1444606475306:dw|
lisa123
  • lisa123
no i need to find the inverse of the function
marcelie
  • marcelie
oh

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marcelie
  • marcelie
hold on
lisa123
  • lisa123
lol thanks for helping tho
marcelie
  • marcelie
|dw:1444606739721:dw|
lisa123
  • lisa123
i typed it in on mathway and the answer is f(x)^-1= 3x+1/x-1
marcelie
  • marcelie
needs more steps but got stuck there
lisa123
  • lisa123
yeah that where i got stuck too but idk what to do next
marcelie
  • marcelie
lol. sorry :(
lisa123
  • lisa123
its okay but thank you for helping!
Jhannybean
  • Jhannybean
\[\begin{align} f(x)=\frac{x+1}{x-3} & \implies y=\frac{x+1}{x-3} \\&\implies x=\frac{y+1}{y-3} \\& \implies x(y-3)=y+1 \\ &\implies xy-3x=y+1 \\ &\implies xy-y=3x+1 \\ &\implies y(x-1)=3x+1 \\ & \implies y=\frac{3x+1}{x-1} \\ & \implies \boxed{ \color{red}{f^{-1}(x)=\frac{3x+1}{x-1}}} \end{align}\]
Jhannybean
  • Jhannybean
There you go :)
lisa123
  • lisa123
omg thank yo so much!

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