What is the inverse of f(x)=((-4x+9))/(6+7x) ?

The inverse of f(x)=((-4x+9))/(6+7x) is (9-6x)/(7x+4)

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inverse of f(x)=((-4x+9))/(6+7x)

inverse

f (x) = \frac{( - 4 x + 9 )}{6 + 7 x}

\frac{9 - 6 x}{7 x + 4}

Solution steps

y = \frac{- 4 x + 9}{6 + 7 x}

Replace

x

with

y

x = \frac{- 4 y + 9}{6 + 7 y}

Solve for

y, x = \frac{- 4 y + 9}{6 + 7 y}

\frac{9 - 6 x}{7 x + 4}

y = x^{2} - 4 x - 5

- 3 x^{2} + 5 x + 4

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

- 5 x + 10 y = 20

\frac{( x ^{3} + 27 )}{x ^{2} + 4}

What is the inverse of f(x)=((-4x+9))/(6+7x) ?
The inverse of f(x)=((-4x+9))/(6+7x) is (9-6x)/(7x+4)