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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{2 s - 8}{s ^{2} - 4 s - 4}

y = - 4.9 (x + 3)^{2} + 45.8

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

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

f (x) = \frac{25}{x ^{2}}, x > 0

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