What is the inverse of f(x)=((5x-2))/(3x+1) ?

The inverse of f(x)=((5x-2))/(3x+1) is (-2-x)/(3x-5)

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inverse of f(x)=((5x-2))/(3x+1)

inverse

f (x) = \frac{( 5 x - 2 )}{3 x + 1}

\frac{- 2 - x}{3 x - 5}

Solution steps

y = \frac{5 x - 2}{3 x + 1}

Replace

x

with

y

x = \frac{5 y - 2}{3 y + 1}

Solve for

y, x = \frac{5 y - 2}{3 y + 1}

\frac{- 2 - x}{3 x - 5}

f (x) = \frac{3}{4} x^{3} + 2

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

f (x) = e^{- 2 x}

g (x) = 12 - 2 x - \frac{3}{2}

f (x) = 5 + 2 sin (\frac{x - 1}{x + 1})

What is the inverse of f(x)=((5x-2))/(3x+1) ?
The inverse of f(x)=((5x-2))/(3x+1) is (-2-x)/(3x-5)