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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

y = 2 (x - 2)^{3}

f (x) = - 2 (4 x + 8)^{3}

y = \frac{4}{x} + 10

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