Posted by **Crystal** on Wednesday, July 29, 2009 at 3:34am.

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

Find the inverse function of f

What is the domain of f? What is the domain of the inverse function?

- Algebra -
**drwls**, Wednesday, July 29, 2009 at 6:34am
Let f(x) = y

Then solve for x in terms of y.

(2x-5)y = x + 3

2xy -3 = 5y + x

x(2y -1)= 5y + 3

x = (5y+3)/(2y-1)

That is the inverse function. It can be written

f^-1(x)= (2x+3)/(2x-1)

The domain of f(x) is all numbers except 5/2.

The domain of f^-1(x) is all numbers except 1/2

- Algebra -
**Crystal**, Wednesday, July 29, 2009 at 1:31pm
Thank you for showing me! Now I can do the rest on my own hopefully without a problem! Thanks again!

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