f(x) = (2x+3)/(4x-5)

So, I let f(x) = y and then I get y = (2x+3) / (4x-5) and then I figure I solve for x... But I am having difficulty in this, any suggestions? Thank you

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- Sep 8th 2009, 08:27 PMWashingtonStudentFind the inverse of F(x)?
f(x) = (2x+3)/(4x-5)

So, I let f(x) = y and then I get y = (2x+3) / (4x-5) and then I figure I solve for x... But I am having difficulty in this, any suggestions? Thank you - Sep 8th 2009, 08:36 PMRapha
- Sep 10th 2009, 04:11 PMzodiacbrave
Could you go over the steps in a bit more detail? I am familiar with polynomial long divison.. but when I make 2x + 3 the divided and 4x - 5 the divisor then I end up with..

0.5*(4x-5) + 5.5 - Sep 10th 2009, 04:33 PMpickslides
I found

Now

To find the inverse, swap y and x and solve for y.

- Sep 10th 2009, 04:39 PMDarthBlood
to find inverse, i'm pretty sure you have to exchange the Y with the X, and then solve for Y.

original equation:

exchange variables:

solve for y:

<----move the denominator on the right to the left

<----factor

<----move all the y's to one side and the single x to the other

<----factor out the 2y from the left side

<----get the 2y by itself

<----get the y by itself

EDIT: I think my way is easier, pickslides... - Sep 10th 2009, 04:47 PMpickslides
yes, i like it.

I was only making note of the previous poster's reference to long division.