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}

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

f (x) = \frac{5 x - 2}{4}

f (x) = 3 (2^{4 x - 5})

\frac{5}{2 x + 1}

f (x) = 2 x - 15

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)