What is the inverse of f(x)=((3x-10))/(1-3x) ?

The inverse of f(x)=((3x-10))/(1-3x) is -(-10-x)/(3(1+x))

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inverse of f(x)=((3x-10))/(1-3x)

inverse

f (x) = \frac{( 3 x - 10 )}{1 - 3 x}

- \frac{- 10 - x}{3 ( 1 + x )}

Solution steps

y = \frac{3 x - 10}{1 - 3 x}

Replace

x

with

y

x = \frac{3 y - 10}{1 - 3 y}

Solve for

y, x = \frac{3 y - 10}{1 - 3 y}

- \frac{- 10 - x}{3 ( 1 + x )}

What is the inverse of f(x)=((3x-10))/(1-3x) ?
The inverse of f(x)=((3x-10))/(1-3x) is -(-10-x)/(3(1+x))