What is the inverse of f(x)=(4x-8)/(6-5x) ?

The inverse of f(x)=(4x-8)/(6-5x) is -(-8-6x)/(4+5x)

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inverse of f(x)=(4x-8)/(6-5x)

inverse

f (x) = \frac{4 x - 8}{6 - 5 x}

- \frac{- 8 - 6 x}{4 + 5 x}

Solution steps

y = \frac{4 x - 8}{6 - 5 x}

Replace

x

with

y

x = \frac{4 y - 8}{6 - 5 y}

Solve for

y, x = \frac{4 y - 8}{6 - 5 y}

- \frac{- 8 - 6 x}{4 + 5 x}

y = x^{2} - x

f (x) = 6 x^{3} - 9 x^{2} - 36 x

f (x) = 8 t^{\frac{2}{3}} + t^{\frac{5}{3}}

f (x) = 1 - 4 x^{2}

5 (\frac{1}{4})^{x}

What is the inverse of f(x)=(4x-8)/(6-5x) ?
The inverse of f(x)=(4x-8)/(6-5x) is -(-8-6x)/(4+5x)