What is the inverse of f(x)=(3x+1)/(-3x+5) ?

The inverse of f(x)=(3x+1)/(-3x+5) is -(1-5x)/(3(1+x))

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inverse of f(x)=(3x+1)/(-3x+5)

inverse

f (x) = \frac{3 x + 1}{- 3 x + 5}

- \frac{1 - 5 x}{3 ( 1 + x )}

Solution steps

y = \frac{3 x + 1}{- 3 x + 5}

Replace

x

with

y

x = \frac{3 y + 1}{- 3 y + 5}

Solve for

y, x = \frac{3 y + 1}{- 3 y + 5}

- \frac{1 - 5 x}{3 ( 1 + x )}

f (x) = (\frac{5 x}{9}) - (\frac{160}{9})

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

f (x) = 2 - 5 x - 3 - 2

f (x) = \frac{13}{x} + 7

y = 3 e^{2 x}

What is the inverse of f(x)=(3x+1)/(-3x+5) ?
The inverse of f(x)=(3x+1)/(-3x+5) is -(1-5x)/(3(1+x))