# Algebra

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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 -

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 -

Thank you for showing me! Now I can do the rest on my own hopefully without a problem! Thanks again!

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