What is the inverse of f(x)=(9x-8)/(2-x) ?

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

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inverse of f(x)=(9x-8)/(2-x)

inverse

f (x) = \frac{9 x - 8}{2 - x}

- \frac{- 8 - 2 x}{9 + x}

Solution steps

y = \frac{9 x - 8}{2 - x}

Replace

x

with

y

x = \frac{9 y - 8}{2 - y}

Solve for

y, x = \frac{9 y - 8}{2 - y}

- \frac{- 8 - 2 x}{9 + x}

(- 2, - 6), (- 7, 1)

f (x) = \frac{x}{1 + 2 x ^{2}}

f (x) = \frac{15 - 3 x}{x ^{2} - 8 x + 15}

f (x) = \frac{1}{2} x - 7

f (x) = - 2 x^{5} - 2 x^{3} - x

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