What is the inverse of f(x)=(3x-4)/(6-2xx) ?

The inverse of f(x)=(3x-4)/(6-2xx) is -(3+sqrt(9+8x(6x+4)))/(4x),-(3-sqrt(9+8x(6x+4)))/(4x)

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inverse of f(x)=(3x-4)/(6-2xx)

inverse

f (x) = \frac{3 x - 4}{6 - 2 xx}

- \frac{3 + 9 + 8 x ( 6 x + 4 )}{4 x}, - \frac{3 - 9 + 8 x ( 6 x + 4 )}{4 x}

Solution steps

y = \frac{3 x - 4}{6 - 2 xx}

Replace

x

with

y

x = \frac{3 y - 4}{6 - 2 yy}

Solve for

y, x = \frac{3 y - 4}{6 - 2 yy}

- \frac{3 + 9 + 8 x ( 6 x + 4 )}{4 x}, - \frac{3 - 9 + 8 x ( 6 x + 4 )}{4 x}

What is the inverse of f(x)=(3x-4)/(6-2xx) ?
The inverse of f(x)=(3x-4)/(6-2xx) is -(3+sqrt(9+8x(6x+4)))/(4x),-(3-sqrt(9+8x(6x+4)))/(4x)