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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 7 x + 9 x + 2

tan (- 3)

- (- 12 x + 13)^{2} - 1

f (x) = - (x + 2)^{2} + 5

1 - \frac{3}{x ^{2} - 1}

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