What is the inverse of f(x)=(-5x+1)/(-6x+4) ?

The inverse of f(x)=(-5x+1)/(-6x+4) is (1-4x)/(-6x+5)

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inverse of f(x)=(-5x+1)/(-6x+4)

inverse

f (x) = \frac{- 5 x + 1}{- 6 x + 4}

\frac{1 - 4 x}{- 6 x + 5}

Solution steps

y = \frac{- 5 x + 1}{- 6 x + 4}

Replace

x

with

y

x = \frac{- 5 y + 1}{- 6 y + 4}

Solve for

y, x = \frac{- 5 y + 1}{- 6 y + 4}

\frac{1 - 4 x}{- 6 x + 5}

f (x) = \frac{8 - x}{3}

\frac{1}{x} - 1

f (x) = x^{5} - 9

\frac{3 ( x ^{2} - x - 6 )}{x ^{2} - 9}

\frac{y ^{2}}{25} - \frac{x ^{2}}{9} = 1

What is the inverse of f(x)=(-5x+1)/(-6x+4) ?
The inverse of f(x)=(-5x+1)/(-6x+4) is (1-4x)/(-6x+5)