What is the inverse of f(x)=(-6x+2)/(-8x+9) ?

The inverse of f(x)=(-6x+2)/(-8x+9) is (2-9x)/(2(3-4x))

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inverse of f(x)=(-6x+2)/(-8x+9)

inverse

f (x) = \frac{- 6 x + 2}{- 8 x + 9}

\frac{2 - 9 x}{2 ( 3 - 4 x )}

Solution steps

y = \frac{- 6 x + 2}{- 8 x + 9}

Replace

x

with

y

x = \frac{- 6 y + 2}{- 8 y + 9}

Solve for

y, x = \frac{- 6 y + 2}{- 8 y + 9}

\frac{2 - 9 x}{2 ( 3 - 4 x )}

f (x) = \frac{9}{- 8 x - 9}

ln (x - 7)

7 x^{2} - 6 x - 1

f (x) = \frac{7 x - 2}{5 x + 1}

f (x) = \frac{( x - 1 )}{( x + 5 )}

What is the inverse of f(x)=(-6x+2)/(-8x+9) ?
The inverse of f(x)=(-6x+2)/(-8x+9) is (2-9x)/(2(3-4x))