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) = \frac{9}{5} lo g_{4} (x)

f (x) = \frac{6}{x + 7}

f (x) = \frac{x}{x ^{2} - a ^{2}}

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

f (x) = (3 x - 4)

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)