What is the inverse of f(x)=(9-8x)/(10x-9) ?

The inverse of f(x)=(9-8x)/(10x-9) is (9+9x)/(2(4+5x))

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inverse of f(x)=(9-8x)/(10x-9)

inverse

f (x) = \frac{9 - 8 x}{10 x - 9}

\frac{9 + 9 x}{2 ( 4 + 5 x )}

Solution steps

y = \frac{9 - 8 x}{10 x - 9}

Replace

x

with

y

x = \frac{9 - 8 y}{10 y - 9}

Solve for

y, x = \frac{9 - 8 y}{10 y - 9}

\frac{9 + 9 x}{2 ( 4 + 5 x )}

y = - 5 x + 10

f (x) = 4 x + \frac{1}{3}

x - 8

1 2^{x}

f (x) = 4 x^{2} + 4 x + 1

What is the inverse of f(x)=(9-8x)/(10x-9) ?
The inverse of f(x)=(9-8x)/(10x-9) is (9+9x)/(2(4+5x))