What is the inverse of f(x)=((2+3x))/(x-4) ?

The inverse of f(x)=((2+3x))/(x-4) is (2+4x)/(x-3)

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inverse of f(x)=((2+3x))/(x-4)

inverse

f (x) = \frac{( 2 + 3 x )}{x - 4}

\frac{2 + 4 x}{x - 3}

Solution steps

y = \frac{2 + 3 x}{x - 4}

Replace

x

with

y

x = \frac{2 + 3 y}{y - 4}

Solve for

y, x = \frac{2 + 3 y}{y - 4}

\frac{2 + 4 x}{x - 3}

- 5

f (x) = 2 x - 6

x - y^{2} = 3

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

f (x) = 8 x^{3} - 6 x + 4

What is the inverse of f(x)=((2+3x))/(x-4) ?
The inverse of f(x)=((2+3x))/(x-4) is (2+4x)/(x-3)