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

The inverse of f(x)=(4x+9)/(6x-6) is (9+6x)/(2(-2+3x))

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

inverse

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

\frac{9 + 6 x}{2 ( - 2 + 3 x )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{9 + 6 x}{2 ( - 2 + 3 x )}

9 - 5 x^{3}

y = \frac{7}{x} + 1

y = \frac{1}{5} e^{3 x - 1}

y = 3 x - 7

f (x) = x^{2} - x - 4 + x

What is the inverse of f(x)=(4x+9)/(6x-6) ?
The inverse of f(x)=(4x+9)/(6x-6) is (9+6x)/(2(-2+3x))