What is the inverse of f(x)=(2x-3)/(4+5x)-1 ?

The inverse of f(x)=(2x-3)/(4+5x)-1 is (-4x-7)/(5x+3)

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inverse of f(x)=(2x-3)/(4+5x)-1

inverse

f (x) = \frac{2 x - 3}{4 + 5 x} - 1

\frac{- 4 x - 7}{5 x + 3}

Solution steps

y = \frac{2 x - 3}{4 + 5 x} - 1

Replace

x

with

y

x = \frac{2 y - 3}{4 + 5 y} - 1

Solve for

y, x = \frac{2 y - 3}{4 + 5 y} - 1

\frac{- 4 x - 7}{5 x + 3}

(d, c), (0, 0)

\frac{x - 2}{x ^{3} - 2 x ^{2} - 15 x}

f (x) = \frac{( x - 10 ) ^{\frac{1}{3}}}{7}

f (x) = \frac{x - 1}{x ^{2} - 9}

\frac{3 x ^{2} - 27}{x ^{2} + 6 x + 9}

What is the inverse of f(x)=(2x-3)/(4+5x)-1 ?
The inverse of f(x)=(2x-3)/(4+5x)-1 is (-4x-7)/(5x+3)