What is the inverse of f(x)=(6x+2)/(5x-7) ?

The inverse of f(x)=(6x+2)/(5x-7) is (2+7x)/(5x-6)

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inverse of f(x)=(6x+2)/(5x-7)

inverse

f (x) = \frac{6 x + 2}{5 x - 7}

\frac{2 + 7 x}{5 x - 6}

Solution steps

y = \frac{6 x + 2}{5 x - 7}

Replace

x

with

y

x = \frac{6 y + 2}{5 y - 7}

Solve for

y, x = \frac{6 y + 2}{5 y - 7}

\frac{2 + 7 x}{5 x - 6}

f (x) = - \frac{1}{3 ( \frac{1}{3 x} )}

sin (0.925)

f (x) = 14 x + 2

f (x) = \frac{( 2 x + 7 )}{10 x - 12}

\frac{( x + 8 )}{2}

What is the inverse of f(x)=(6x+2)/(5x-7) ?
The inverse of f(x)=(6x+2)/(5x-7) is (2+7x)/(5x-6)