What is the inverse of f(x)=((2x-3))/(5x-7) ?

The inverse of f(x)=((2x-3))/(5x-7) is (-3+7x)/(5x-2)

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inverse of f(x)=((2x-3))/(5x-7)

inverse

f (x) = \frac{( 2 x - 3 )}{5 x - 7}

\frac{- 3 + 7 x}{5 x - 2}

Solution steps

y = \frac{2 x - 3}{5 x - 7}

Replace

x

with

y

x = \frac{2 y - 3}{5 y - 7}

Solve for

y, x = \frac{2 y - 3}{5 y - 7}

\frac{- 3 + 7 x}{5 x - 2}

f (x) = 3 + 2 x + x^{2}

f (x) = - \frac{4 x}{7}

f (x) = 2 ln (\frac{x + 3}{5})

f (x) = (x^{2} + 5 x)^{\frac{1}{2}}

e^{x + 1}

What is the inverse of f(x)=((2x-3))/(5x-7) ?
The inverse of f(x)=((2x-3))/(5x-7) is (-3+7x)/(5x-2)