What is the inverse of f(x)=(7x-1)/(5x+6) ?

The inverse of f(x)=(7x-1)/(5x+6) is (-1-6x)/(5x-7)

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inverse of f(x)=(7x-1)/(5x+6)

inverse

f (x) = \frac{7 x - 1}{5 x + 6}

\frac{- 1 - 6 x}{5 x - 7}

Solution steps

y = \frac{7 x - 1}{5 x + 6}

Replace

x

with

y

x = \frac{7 y - 1}{5 y + 6}

Solve for

y, x = \frac{7 y - 1}{5 y + 6}

\frac{- 1 - 6 x}{5 x - 7}

(- 7, 2), (8, 10)

f (x) = x + \frac{( 4 )}{( x + 1 ) ^{2}}

f (x) = x + 9

f (x) = \frac{x ^{2} + 3 x - 4}{x - 1}

f (x) = \frac{1}{x ^{2} - 16}

What is the inverse of f(x)=(7x-1)/(5x+6) ?
The inverse of f(x)=(7x-1)/(5x+6) is (-1-6x)/(5x-7)