What is the inverse of f(x)=(1-2x)/(1-3x) ?

The inverse of f(x)=(1-2x)/(1-3x) is (1-x)/(-3x+2)

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inverse of f(x)=(1-2x)/(1-3x)

inverse

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

\frac{1 - x}{- 3 x + 2}

Solution steps

y = \frac{1 - 2 x}{1 - 3 x}

Replace

x

with

y

x = \frac{1 - 2 y}{1 - 3 y}

Solve for

y, x = \frac{1 - 2 y}{1 - 3 y}

\frac{1 - x}{- 3 x + 2}

- \frac{1}{2} x + 3, x \geq - 3

ln (1 + e^{x})

f (x) = 6 x - 90

f (x) = lo g_{e} (2 x)

f (x) = 0.05

What is the inverse of f(x)=(1-2x)/(1-3x) ?
The inverse of f(x)=(1-2x)/(1-3x) is (1-x)/(-3x+2)