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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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