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}

z \frac{4 z}{4 z + 1}

f (x) = \frac{( x + 18 )}{x - 6}

f (x) = \frac{- 2}{9} x - 3

f (x) = - \frac{4}{3} x - 1

\frac{x + 3}{x + 10}

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)