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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = - 7 x + 9

ln (\frac{x}{x - 1})

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

f (x) = \frac{x + 5}{8 x + 9}

f (x) = \frac{1}{6}

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