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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

2 7^{x}

y = - 5 x + 1

f (x) = e^{3 x - 2} - 5

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

f (x) = 2 + 1 - x

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