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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = (1 - x^{2})^{- \frac{1}{3}}

x^{2} - 36

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

f (x) = x (\frac{x}{2} + 0.5)

3 x \frac{1}{4 x} 1

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