What is the inverse of f(x)=(2x-3)/(5x-1) ?

The inverse of f(x)=(2x-3)/(5x-1) is (-3+x)/(5x-2)

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inverse of f(x)=(2x-3)/(5x-1)

inverse

f (x) = \frac{2 x - 3}{5 x - 1}

\frac{- 3 + x}{5 x - 2}

Solution steps

y = \frac{2 x - 3}{5 x - 1}

Replace

x

with

y

x = \frac{2 y - 3}{5 y - 1}

Solve for

y, x = \frac{2 y - 3}{5 y - 1}

\frac{- 3 + x}{5 x - 2}

f (x) = \frac{x}{7}

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

f (x) = - 0.2 t^{2} + 1.6 t + 98.9

x + \frac{9}{x}

f (x) = \frac{5 + x}{5 + x}

What is the inverse of f(x)=(2x-3)/(5x-1) ?
The inverse of f(x)=(2x-3)/(5x-1) is (-3+x)/(5x-2)