What is the inverse of f(x)=(x+1)/(2(x-1)) ?

The inverse of f(x)=(x+1)/(2(x-1)) is (1+2x)/(2x-1)

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inverse of f(x)=(x+1)/(2(x-1))

inverse

f (x) = \frac{x + 1}{2 ( x - 1 )}

\frac{1 + 2 x}{2 x - 1}

Solution steps

y = \frac{x + 1}{2 ( x - 1 )}

Replace

x

with

y

x = \frac{y + 1}{2 ( y - 1 )}

Solve for

y, x = \frac{y + 1}{2 ( y - 1 )}

\frac{1 + 2 x}{2 x - 1}

What is the inverse of f(x)=(x+1)/(2(x-1)) ?
The inverse of f(x)=(x+1)/(2(x-1)) is (1+2x)/(2x-1)