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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

f (x) = \frac{- 3}{∣ x + 2 ∣}

f (x) = \frac{( 3 \cdot x ^{3} - 2 \cdot x ^{2} + 7 )}{( x ^{3} - x - 2 )}

3 x + 3 y = 72

y = - 1 + 3 x

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