What is the inverse of f(x)=((-8x+7))/((-4x+3)) ?

The inverse of f(x)=((-8x+7))/((-4x+3)) is (7-3x)/(4(2-x))

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inverse of f(x)=((-8x+7))/((-4x+3))

inverse

f (x) = \frac{( - 8 x + 7 )}{( - 4 x + 3 )}

\frac{7 - 3 x}{4 ( 2 - x )}

Solution steps

y = \frac{- 8 x + 7}{- 4 x + 3}

Replace

x

with

y

x = \frac{- 8 y + 7}{- 4 y + 3}

Solve for

y, x = \frac{- 8 y + 7}{- 4 y + 3}

\frac{7 - 3 x}{4 ( 2 - x )}

14 + 3 x

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

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

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

y = - 9 x - 8 + 5

What is the inverse of f(x)=((-8x+7))/((-4x+3)) ?
The inverse of f(x)=((-8x+7))/((-4x+3)) is (7-3x)/(4(2-x))