What is the inverse of f(x)=(3x-5)/(x-4) ?

The inverse of f(x)=(3x-5)/(x-4) is (-5+4x)/(x-3)

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inverse of f(x)=(3x-5)/(x-4)

inverse

f (x) = \frac{3 x - 5}{x - 4}

\frac{- 5 + 4 x}{x - 3}

Solution steps

y = \frac{3 x - 5}{x - 4}

Replace

x

with

y

x = \frac{3 y - 5}{y - 4}

Solve for

y, x = \frac{3 y - 5}{y - 4}

\frac{- 5 + 4 x}{x - 3}

f (x) = ln (2 x - 7)

f (y) = 2 + 5 (3^{0.5 x - 2})

g (x) = 4 x + 16

95393395 - 8

y = 0.0372 x^{2} - 2.5077 x + 27.58

What is the inverse of f(x)=(3x-5)/(x-4) ?
The inverse of f(x)=(3x-5)/(x-4) is (-5+4x)/(x-3)