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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y = \frac{e ^{x}}{1 + 8 e ^{x}}

f (x) = ln (16 x + e)

f (x) = \frac{2}{3 x} + \frac{1}{2}

3 (x + 6)^{2}

f (x) = 3 2 x + 9

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