What is the inverse of f(x)=(3x-8)/(7+3x) ?

The inverse of f(x)=(3x-8)/(7+3x) is (-8-7x)/(3(-1+x))

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inverse of f(x)=(3x-8)/(7+3x)

inverse

f (x) = \frac{3 x - 8}{7 + 3 x}

\frac{- 8 - 7 x}{3 ( - 1 + x )}

Solution steps

y = \frac{3 x - 8}{7 + 3 x}

Replace

x

with

y

x = \frac{3 y - 8}{7 + 3 y}

Solve for

y, x = \frac{3 y - 8}{7 + 3 y}

\frac{- 8 - 7 x}{3 ( - 1 + x )}

What is the inverse of f(x)=(3x-8)/(7+3x) ?
The inverse of f(x)=(3x-8)/(7+3x) is (-8-7x)/(3(-1+x))