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

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

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

inverse

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

\frac{- 2 - 5 x}{4 x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 2 - 5 x}{4 x - 1}

1 + x

\frac{- 2 x - 2}{x + 2}

f (x) = 786.51 x - 1105.1

1 - 4 - 2 x

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

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