What is the inverse of f(x)=(2x-5)/(9x-4) ?

The inverse of f(x)=(2x-5)/(9x-4) is (-5+4x)/(9x-2)

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inverse of f(x)=(2x-5)/(9x-4)

inverse

f (x) = \frac{2 x - 5}{9 x - 4}

\frac{- 5 + 4 x}{9 x - 2}

Solution steps

y = \frac{2 x - 5}{9 x - 4}

Replace

x

with

y

x = \frac{2 y - 5}{9 y - 4}

Solve for

y, x = \frac{2 y - 5}{9 y - 4}

\frac{- 5 + 4 x}{9 x - 2}

f (x) = \frac{9}{x + 2}

f (x) = \frac{9}{x + 1}

f (x) = \frac{9}{x + 7}

f (x) = - 2 (x - 2)^{2} + 8

f (x) = \frac{3 x + 1}{x - 4}

What is the inverse of f(x)=(2x-5)/(9x-4) ?
The inverse of f(x)=(2x-5)/(9x-4) is (-5+4x)/(9x-2)