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

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

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

inverse

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

\frac{- 3 + 4 x}{- 2 x + 5}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 3 + 4 x}{- 2 x + 5}

y = 3 x - 6 + 11

3^{x + 1} - 1

f (x) = - 3 (2 + x)

f (x) = \frac{21}{x ^{2} - 25} - 3

f (x) = ln (x^{2} - 4) + π, x < 2

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