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

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

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inverse of f(x)=(9+4x)/(2-x)

inverse

f (x) = \frac{9 + 4 x}{2 - x}

- \frac{9 - 2 x}{4 + x}

Solution steps

y = \frac{9 + 4 x}{2 - x}

Replace

x

with

y

x = \frac{9 + 4 y}{2 - y}

Solve for

y, x = \frac{9 + 4 y}{2 - y}

- \frac{9 - 2 x}{4 + x}

- 9 x - 8 + 5

(2.5) (4.1)

f (x) = - 8 x - 16

f (x) = \frac{5 x ^{3}}{x ^{3} + 2 x ^{2} + 5 x}

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