What is the inverse of f(x)=(3x-5)/(5x+1) ?

The inverse of f(x)=(3x-5)/(5x+1) is (-5-x)/(5x-3)

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inverse of f(x)=(3x-5)/(5x+1)

inverse

f (x) = \frac{3 x - 5}{5 x + 1}

\frac{- 5 - x}{5 x - 3}

Solution steps

y = \frac{3 x - 5}{5 x + 1}

Replace

x

with

y

x = \frac{3 y - 5}{5 y + 1}

Solve for

y, x = \frac{3 y - 5}{5 y + 1}

\frac{- 5 - x}{5 x - 3}

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

5 (x - 3)

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

2 y = 4 x^{2} + 8

y = x + 2 - 3

What is the inverse of f(x)=(3x-5)/(5x+1) ?
The inverse of f(x)=(3x-5)/(5x+1) is (-5-x)/(5x-3)