What is the inverse of f(x)=(-2x-9)/(-5x+6) ?

The inverse of f(x)=(-2x-9)/(-5x+6) is (-9-6x)/(-5x+2)

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inverse of f(x)=(-2x-9)/(-5x+6)

inverse

f (x) = \frac{- 2 x - 9}{- 5 x + 6}

\frac{- 9 - 6 x}{- 5 x + 2}

Solution steps

y = \frac{- 2 x - 9}{- 5 x + 6}

Replace

x

with

y

x = \frac{- 2 y - 9}{- 5 y + 6}

Solve for

y, x = \frac{- 2 y - 9}{- 5 y + 6}

\frac{- 9 - 6 x}{- 5 x + 2}

f (x) = x - 6

f (x) = 2 x^{3}

(5.1, 5.71), (6, 3.6)

f (x) = \frac{x - 2}{3 x + 7}

x^{2} - 7 x + 12

What is the inverse of f(x)=(-2x-9)/(-5x+6) ?
The inverse of f(x)=(-2x-9)/(-5x+6) is (-9-6x)/(-5x+2)