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

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

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

inverse

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

\frac{- 1 + 3 x}{5 x - 2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 1 + 3 x}{5 x - 2}

f (x) = x^{2} - 16, x > 0

c \cdot e^{- c x}

h (t) = arcsin (2 t)

\frac{1}{\frac{x}{3} - 14}

- tan (\frac{4 π}{9})

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