What is the inverse of f(x)=(1-x)/(9-12x) ?

The inverse of f(x)=(1-x)/(9-12x) is (1-9x)/(-12x+1)

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inverse of f(x)=(1-x)/(9-12x)

inverse

f (x) = \frac{1 - x}{9 - 12 x}

\frac{1 - 9 x}{- 12 x + 1}

Solution steps

y = \frac{1 - x}{9 - 12 x}

Replace

x

with

y

x = \frac{1 - y}{9 - 12 y}

Solve for

y, x = \frac{1 - y}{9 - 12 y}

\frac{1 - 9 x}{- 12 x + 1}

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

f (x) = lo g_{2} (x - 10)

x^{3} - 10

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

What is the inverse of f(x)=(1-x)/(9-12x) ?
The inverse of f(x)=(1-x)/(9-12x) is (1-9x)/(-12x+1)