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

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

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

inverse

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

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

Solution steps

y = \frac{2 x - 1}{x - 2}

Replace

x

with

y

x = \frac{2 y - 1}{y - 2}

Solve for

y, x = \frac{2 y - 1}{y - 2}

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

f (x) = \frac{4 x ^{5} - 2}{5}

f (x) = 3^{x + 2} - 6

2 + 4 + 7 x

f (x) = - 2 x^{2} - 12 x - 9

f (x) = \frac{13 x}{x - 4}

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