What is the inverse of f(x)=(-3x)/(3x-4) ?

The inverse of f(x)=(-3x)/(3x-4) is (4x)/(3(x+1))

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inverse of f(x)=(-3x)/(3x-4)

inverse

f (x) = \frac{- 3 x}{3 x - 4}

\frac{4 x}{3 ( x + 1 )}

Solution steps

y = \frac{- 3 x}{3 x - 4}

Replace

x

with

y

x = \frac{- 3 y}{3 y - 4}

Solve for

y, x = \frac{- 3 y}{3 y - 4}

\frac{4 x}{3 ( x + 1 )}

(2, - 2), (4, 1)

y = 5 x - 1

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

f (x) = \frac{x ^{3} + 64}{x ^{2} + 9 x}

f (x) = x^{2} + x - 10

What is the inverse of f(x)=(-3x)/(3x-4) ?
The inverse of f(x)=(-3x)/(3x-4) is (4x)/(3(x+1))