What is the inverse of f(x)=(3x+4)/(6-5x) ?

The inverse of f(x)=(3x+4)/(6-5x) is -(4-6x)/(3+5x)

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inverse of f(x)=(3x+4)/(6-5x)

inverse

f (x) = \frac{3 x + 4}{6 - 5 x}

- \frac{4 - 6 x}{3 + 5 x}

Solution steps

y = \frac{3 x + 4}{6 - 5 x}

Replace

x

with

y

x = \frac{3 y + 4}{6 - 5 y}

Solve for

y, x = \frac{3 y + 4}{6 - 5 y}

- \frac{4 - 6 x}{3 + 5 x}

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

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

f (x) = \frac{8 x - 2}{x + 2}

f (x) = \frac{1}{6} x - 2

\frac{4 x}{x + 3}

What is the inverse of f(x)=(3x+4)/(6-5x) ?
The inverse of f(x)=(3x+4)/(6-5x) is -(4-6x)/(3+5x)