What is the inverse of f(x)=(6x+9)/(9x-7) ?

The inverse of f(x)=(6x+9)/(9x-7) is (9+7x)/(3(-2+3x))

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inverse of f(x)=(6x+9)/(9x-7)

inverse

f (x) = \frac{6 x + 9}{9 x - 7}

\frac{9 + 7 x}{3 ( - 2 + 3 x )}

Solution steps

y = \frac{6 x + 9}{9 x - 7}

Replace

x

with

y

x = \frac{6 y + 9}{9 y - 7}

Solve for

y, x = \frac{6 y + 9}{9 y - 7}

\frac{9 + 7 x}{3 ( - 2 + 3 x )}

+ f^{9}

f (x) = 2^{2 x^{2} + 2 x} + 3

ln (7 x + 4) - 2

f (x) = a x^{2}

\frac{1}{x ^{7}}

What is the inverse of f(x)=(6x+9)/(9x-7) ?
The inverse of f(x)=(6x+9)/(9x-7) is (9+7x)/(3(-2+3x))