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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{2 x}{3 x - 8}

3 x^{3} - 7

3 x^{3} + 6

3 x^{3} + 5

3 x^{3} + 1

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