What is the inverse of f(x)=(4x+2)/(1-6x) ?

The inverse of f(x)=(4x+2)/(1-6x) is -(2-x)/(2(2+3x))

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inverse of f(x)=(4x+2)/(1-6x)

inverse

f (x) = \frac{4 x + 2}{1 - 6 x}

- \frac{2 - x}{2 ( 2 + 3 x )}

Solution steps

y = \frac{4 x + 2}{1 - 6 x}

Replace

x

with

y

x = \frac{4 y + 2}{1 - 6 y}

Solve for

y, x = \frac{4 y + 2}{1 - 6 y}

- \frac{2 - x}{2 ( 2 + 3 x )}

\frac{18}{x} - 1

y = x^{2} + 1

f (x) = tan (x) sin (6 x^{3})

\frac{1}{4}

f (x) = x^{2} (x + 3)

What is the inverse of f(x)=(4x+2)/(1-6x) ?
The inverse of f(x)=(4x+2)/(1-6x) is -(2-x)/(2(2+3x))