What is the inverse of f(x)=(4x-5)/(x-2) ?

The inverse of f(x)=(4x-5)/(x-2) is (-5+2x)/(x-4)

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inverse of f(x)=(4x-5)/(x-2)

inverse

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

\frac{- 5 + 2 x}{x - 4}

Solution steps

y = \frac{4 x - 5}{x - 2}

Replace

x

with

y

x = \frac{4 y - 5}{y - 2}

Solve for

y, x = \frac{4 y - 5}{y - 2}

\frac{- 5 + 2 x}{x - 4}

f (x) = \frac{( x - 9 ) ^{\frac{1}{3}}}{5}

f (x) = 2 x (4 - x)

\frac{2 + 3 x}{x - 2}

f (x) = 9 x - 6

f (x) = 9 x^{3} + 4

What is the inverse of f(x)=(4x-5)/(x-2) ?
The inverse of f(x)=(4x-5)/(x-2) is (-5+2x)/(x-4)