What is the inverse of f(x)=(5x-2)/(3x-4) ?

The inverse of f(x)=(5x-2)/(3x-4) is (-2+4x)/(3x-5)

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inverse of f(x)=(5x-2)/(3x-4)

inverse

f (x) = \frac{5 x - 2}{3 x - 4}

\frac{- 2 + 4 x}{3 x - 5}

Solution steps

y = \frac{5 x - 2}{3 x - 4}

Replace

x

with

y

x = \frac{5 y - 2}{3 y - 4}

Solve for

y, x = \frac{5 y - 2}{3 y - 4}

\frac{- 2 + 4 x}{3 x - 5}

f (x) = 0.5 (4)^{x}

\frac{200}{x}

\frac{x - 1}{6 \cdot x \cdot ( x - 1 ) \cdot ( x - 2 )}

f (x) = x^{4} + 5, x \geq 0

f (x) = \frac{8 - 6 x}{3 - 4 x}

What is the inverse of f(x)=(5x-2)/(3x-4) ?
The inverse of f(x)=(5x-2)/(3x-4) is (-2+4x)/(3x-5)