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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

ln (\frac{s + 2}{s - 5})

f (x) = ln (e^{x} - 8) + 5

f (x) = (\frac{x + 2}{7})^{\frac{1}{7}}

f (x) = x + 3 - 5

- \frac{1}{4 x}

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