What is the inverse of f(x)=(5x-6)/(2x-1) ?

The inverse of f(x)=(5x-6)/(2x-1) is (-6+x)/(2x-5)

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inverse of f(x)=(5x-6)/(2x-1)

inverse

f (x) = \frac{5 x - 6}{2 x - 1}

\frac{- 6 + x}{2 x - 5}

Solution steps

y = \frac{5 x - 6}{2 x - 1}

Replace

x

with

y

x = \frac{5 y - 6}{2 y - 1}

Solve for

y, x = \frac{5 y - 6}{2 y - 1}

\frac{- 6 + x}{2 x - 5}

f (x) = \frac{x + 4}{x + 8}

f (x) = \frac{( 5 x - 2 )}{3 x + 1}

f (x) = \frac{3}{4} x^{3} + 2

\frac{4 + x}{1 - x}

f (x) = e^{- 2 x}

What is the inverse of f(x)=(5x-6)/(2x-1) ?
The inverse of f(x)=(5x-6)/(2x-1) is (-6+x)/(2x-5)