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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

3 x + 4 y = 2

(x^{2} + 2 x - 1) (2 x^{2} - 3 x + 6)

(7, 3), (12, 15)

f (x) = \frac{( x + 4 ) ( x + 5 )}{x - 7}

x + 3

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