What is the inverse of f(x)=(3x-7)/(5x+6) ?

The inverse of f(x)=(3x-7)/(5x+6) is (-7-6x)/(5x-3)

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inverse of f(x)=(3x-7)/(5x+6)

inverse

f (x) = \frac{3 x - 7}{5 x + 6}

\frac{- 7 - 6 x}{5 x - 3}

Solution steps

y = \frac{3 x - 7}{5 x + 6}

Replace

x

with

y

x = \frac{3 y - 7}{5 y + 6}

Solve for

y, x = \frac{3 y - 7}{5 y + 6}

\frac{- 7 - 6 x}{5 x - 3}

\frac{( 2 x + 3 )}{x - 1}

y = 0.2 lo g_{7} (3 x + 2) - 9

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

(x - 7) (x - 9)

\frac{6 x - 1}{2 x + 7}

What is the inverse of f(x)=(3x-7)/(5x+6) ?
The inverse of f(x)=(3x-7)/(5x+6) is (-7-6x)/(5x-3)