What is the inverse of f(x)=(-3x+12)/(x-6) ?

The inverse of f(x)=(-3x+12)/(x-6) is (12+6x)/(x+3)

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inverse of f(x)=(-3x+12)/(x-6)

inverse

f (x) = \frac{- 3 x + 12}{x - 6}

\frac{12 + 6 x}{x + 3}

Solution steps

y = \frac{- 3 x + 12}{x - 6}

Replace

x

with

y

x = \frac{- 3 y + 12}{y - 6}

Solve for

y, x = \frac{- 3 y + 12}{y - 6}

\frac{12 + 6 x}{x + 3}

x^{2} + 2 x - 1, x > 0

f (x) = 5 + x - 2

30 - 4 x - 2 x^{2}

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

y = 2 sin (x) + 1

What is the inverse of f(x)=(-3x+12)/(x-6) ?
The inverse of f(x)=(-3x+12)/(x-6) is (12+6x)/(x+3)