What is the inverse of f(x)=(2x-3)/(x-4) ?

The inverse of f(x)=(2x-3)/(x-4) is (-3+4x)/(x-2)

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inverse of f(x)=(2x-3)/(x-4)

inverse

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

\frac{- 3 + 4 x}{x - 2}

Solution steps

y = \frac{2 x - 3}{x - 4}

Replace

x

with

y

x = \frac{2 y - 3}{y - 4}

Solve for

y, x = \frac{2 y - 3}{y - 4}

\frac{- 3 + 4 x}{x - 2}

y = 2 x^{3}

g (x) = - x

9^{x}

f (x) = 2^{3^{x}}

f (x) = \frac{8}{9 + 4 x}

What is the inverse of f(x)=(2x-3)/(x-4) ?
The inverse of f(x)=(2x-3)/(x-4) is (-3+4x)/(x-2)