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) = 2^{2 - x}

f (x) = - (x + 1)^{2} + 7

f (x) = (x + 2)^{3} + 2

f (x) = 4 x + 2 + 6

f (x) = 5 x + 25

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)