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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{3 x}{x ^{2} - 1}

f (x) = 2 x + 3

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

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

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

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