What is the inverse of f(x)=(1+5x)/(3-4x) ?

The inverse of f(x)=(1+5x)/(3-4x) is -(1-3x)/(5+4x)

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inverse of f(x)=(1+5x)/(3-4x)

inverse

f (x) = \frac{1 + 5 x}{3 - 4 x}

- \frac{1 - 3 x}{5 + 4 x}

Solution steps

y = \frac{1 + 5 x}{3 - 4 x}

Replace

x

with

y

x = \frac{1 + 5 y}{3 - 4 y}

Solve for

y, x = \frac{1 + 5 y}{3 - 4 y}

- \frac{1 - 3 x}{5 + 4 x}

What is the inverse of f(x)=(1+5x)/(3-4x) ?
The inverse of f(x)=(1+5x)/(3-4x) is -(1-3x)/(5+4x)