What is the inverse of f(x)=(x-5)/(3x+4) ?

The inverse of f(x)=(x-5)/(3x+4) is (-5-4x)/(3x-1)

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inverse of f(x)=(x-5)/(3x+4)

inverse

f (x) = \frac{x - 5}{3 x + 4}

\frac{- 5 - 4 x}{3 x - 1}

Solution steps

y = \frac{x - 5}{3 x + 4}

Replace

x

with

y

x = \frac{y - 5}{3 y + 4}

Solve for

y, x = \frac{y - 5}{3 y + 4}

\frac{- 5 - 4 x}{3 x - 1}

f (x) = x^{3} = 7 x^{2} - 3

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

- 3 x + 4 y = 10

f (x) = (x + 4)^{4}

- 2 x + 3

What is the inverse of f(x)=(x-5)/(3x+4) ?
The inverse of f(x)=(x-5)/(3x+4) is (-5-4x)/(3x-1)