What is the inverse of f(x)=(3x-5)/(2x-8) ?

The inverse of f(x)=(3x-5)/(2x-8) is (-5+8x)/(2x-3)

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inverse of f(x)=(3x-5)/(2x-8)

inverse

f (x) = \frac{3 x - 5}{2 x - 8}

\frac{- 5 + 8 x}{2 x - 3}

Solution steps

y = \frac{3 x - 5}{2 x - 8}

Replace

x

with

y

x = \frac{3 y - 5}{2 y - 8}

Solve for

y, x = \frac{3 y - 5}{2 y - 8}

\frac{- 5 + 8 x}{2 x - 3}

f (x) = 2 x^{3} - 3 x^{2} - 12 x

f (x) = x^{24}

\frac{540}{37}

16 - x^{2} + x + 2

f (x) = 2 x^{3} + 3 x^{2} - 72 x

What is the inverse of f(x)=(3x-5)/(2x-8) ?
The inverse of f(x)=(3x-5)/(2x-8) is (-5+8x)/(2x-3)