What is the inverse of f(x)=((-5x+2))/((6x+3)) ?

The inverse of f(x)=((-5x+2))/((6x+3)) is (2-3x)/(6x+5)

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inverse of f(x)=((-5x+2))/((6x+3))

inverse

f (x) = \frac{( - 5 x + 2 )}{( 6 x + 3 )}

\frac{2 - 3 x}{6 x + 5}

Solution steps

y = \frac{- 5 x + 2}{6 x + 3}

Replace

x

with

y

x = \frac{- 5 y + 2}{6 y + 3}

Solve for

y, x = \frac{- 5 y + 2}{6 y + 3}

\frac{2 - 3 x}{6 x + 5}

What is the inverse of f(x)=((-5x+2))/((6x+3)) ?
The inverse of f(x)=((-5x+2))/((6x+3)) is (2-3x)/(6x+5)