What is the inverse of f(x)=(1-2x)/(5x-1) ?

The inverse of f(x)=(1-2x)/(5x-1) is (1+x)/(5x+2)

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inverse of f(x)=(1-2x)/(5x-1)

inverse

f (x) = \frac{1 - 2 x}{5 x - 1}

\frac{1 + x}{5 x + 2}

Solution steps

y = \frac{1 - 2 x}{5 x - 1}

Replace

x

with

y

x = \frac{1 - 2 y}{5 y - 1}

Solve for

y, x = \frac{1 - 2 y}{5 y - 1}

\frac{1 + x}{5 x + 2}

f (x) = 5 x^{3} + 4 x^{4}

f (x) = 2 x + \frac{50}{x}

f (x) = \frac{1}{10}

\frac{8 x + 3}{x + 3}

f (x) = 7 cot (\frac{π}{2} x)

What is the inverse of f(x)=(1-2x)/(5x-1) ?
The inverse of f(x)=(1-2x)/(5x-1) is (1+x)/(5x+2)