What is the inverse of f(x)=(1+9x)/(5-4x) ?

The inverse of f(x)=(1+9x)/(5-4x) is -(1-5x)/(9+4x)

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inverse of f(x)=(1+9x)/(5-4x)

inverse

f (x) = \frac{1 + 9 x}{5 - 4 x}

- \frac{1 - 5 x}{9 + 4 x}

Solution steps

y = \frac{1 + 9 x}{5 - 4 x}

Replace

x

with

y

x = \frac{1 + 9 y}{5 - 4 y}

Solve for

y, x = \frac{1 + 9 y}{5 - 4 y}

- \frac{1 - 5 x}{9 + 4 x}

(- 5.4) (7.2)

4 sin (x)

f (x) = 2 x^{3}

f (x) = 5 - x + 1

What is the inverse of f(x)=(1+9x)/(5-4x) ?
The inverse of f(x)=(1+9x)/(5-4x) is -(1-5x)/(9+4x)