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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y = \frac{1}{x ^{2}} + 2

f (x) = 6 x + 15

\frac{4}{s}

10 - 3

x^{(2)} - 5 x - 7

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