What is the inverse of f(x)=(3-9x)/(8-4x) ?

The inverse of f(x)=(3-9x)/(8-4x) is (3-8x)/(-4x+9)

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inverse of f(x)=(3-9x)/(8-4x)

inverse

f (x) = \frac{3 - 9 x}{8 - 4 x}

\frac{3 - 8 x}{- 4 x + 9}

Solution steps

y = \frac{3 - 9 x}{8 - 4 x}

Replace

x

with

y

x = \frac{3 - 9 y}{8 - 4 y}

Solve for

y, x = \frac{3 - 9 y}{8 - 4 y}

\frac{3 - 8 x}{- 4 x + 9}

f (x) = 5 x^{3} - 5 - 1

f (x) = 6 - 3 x^{3}

2646 x^{142}

y = - 3 x - 5

x^{2} - x - 6

What is the inverse of f(x)=(3-9x)/(8-4x) ?
The inverse of f(x)=(3-9x)/(8-4x) is (3-8x)/(-4x+9)