What is the inverse of f(x)=(6-4x)/(20x-1) ?

The inverse of f(x)=(6-4x)/(20x-1) is (6+x)/(4(1+5x))

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inverse of f(x)=(6-4x)/(20x-1)

inverse

f (x) = \frac{6 - 4 x}{20 x - 1}

\frac{6 + x}{4 ( 1 + 5 x )}

Solution steps

y = \frac{6 - 4 x}{20 x - 1}

Replace

x

with

y

x = \frac{6 - 4 y}{20 y - 1}

Solve for

y, x = \frac{6 - 4 y}{20 y - 1}

\frac{6 + x}{4 ( 1 + 5 x )}

f (x) = \frac{1 - 5 x}{6 + x}

\frac{x ^{3}}{x ^{2} + 1}

f (x) = 3 - sin (x) 3 - x

f (x) = 2 - 3 x

f (x) = 3 x^{2} - 4 x + 1

What is the inverse of f(x)=(6-4x)/(20x-1) ?
The inverse of f(x)=(6-4x)/(20x-1) is (6+x)/(4(1+5x))