What is the inverse of f(x)=6-(4x)/(1+3x) ?

The inverse of f(x)=6-(4x)/(1+3x) is (-x+6)/(3x-14)

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inverse of f(x)=6-(4x)/(1+3x)

inverse

f (x) = 6 - \frac{4 x}{1 + 3 x}

\frac{- x + 6}{3 x - 14}

Solution steps

y = 6 - \frac{4 x}{1 + 3 x}

Replace

x

with

y

x = 6 - \frac{4 y}{1 + 3 y}

Solve for

y, x = 6 - \frac{4 y}{1 + 3 y}

\frac{- x + 6}{3 x - 14}

f (x) = (x - 9)^{2} + 3

6 sin (x)

f (x) = \frac{9}{2} x + \frac{27}{2}

7 x^{3} + 4

3 e^{- x} - 2

What is the inverse of f(x)=6-(4x)/(1+3x) ?
The inverse of f(x)=6-(4x)/(1+3x) is (-x+6)/(3x-14)