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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = lo g_{3} (x - 2) - 1

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

h (x) = - \frac{x}{4}

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

f (x) = \frac{- 8 x + 11}{- 2 x - 5}

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