inverse f(x)= (2x+1) / (3x+2)
\[f(x)=(2x+1)\div (3x+2) \] right?
yeah the inverse
of that please
If so it would be (3x+2)(2)-( 2x-1)(3) / \[(3x+2)^{2}\]
do you mean the inverse function for \[ \Large f(x)=\frac{2x+1}{3x+2} \]
yes ^
yes but thats not the anserw but the first step I did
ok then you have to solve for x the equation \[ \Large y=f(x)=\frac{2x+1}{3x+2} \] tell me what you get
would the anserw be 6 over \[(3x+2)^{2}\]
No @hooverst
@sabriiina. are you working on this?
how would u do it? I probably missed a step
i know what the answer is
i don't know how to get it
im stuck at the step y= 2y+1 -2x ------------- 3x
ok let me try \[ \Large y=\frac{2x+1}{3x+2} \] \[ \Large y(3x+2)=2x+1 \] \[ \Large 3xy+2y=2x+1 \] \[ \Large 3xy-2x=1-2y \] \[ \Large x(3y-2)=1-2y \] \[ \Large x=\frac{1-2y}{3y-2} \] then \[ \Large f^{-1}(y)=\frac{1-2y}{3y-2} \]
do you get this?
\[y=\frac{2x+1}{3x+2}\] \[({3x+2})y={2x+1}\] \[{3xy+2y}={2x+1}\] \[3xy-2x=1-2y\] \[x(3y-2)=1-2y\] \[x=\frac{1-2y}{3y-2}\]
thank you. i get it now :)
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