What is the inverse of f(x)=(-8x+11)/(-2x-5) ?

The inverse of f(x)=(-8x+11)/(-2x-5) is (11+5x)/(2(4-x))

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inverse of f(x)=(-8x+11)/(-2x-5)

inverse

f (x) = \frac{- 8 x + 11}{- 2 x - 5}

\frac{11 + 5 x}{2 ( 4 - x )}

Solution steps

y = \frac{- 8 x + 11}{- 2 x - 5}

Replace

x

with

y

x = \frac{- 8 y + 11}{- 2 y - 5}

Solve for

y, x = \frac{- 8 y + 11}{- 2 y - 5}

\frac{11 + 5 x}{2 ( 4 - x )}

f (x) = - 3 (x - 4)^{3} - 9

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

ln (\frac{s + 2}{s - 5})

f (x) = ln (e^{x} - 8) + 5

f (x) = (\frac{x + 2}{7})^{\frac{1}{7}}

What is the inverse of f(x)=(-8x+11)/(-2x-5) ?
The inverse of f(x)=(-8x+11)/(-2x-5) is (11+5x)/(2(4-x))