What is the inverse of f(x)=(-3x+6)/(4x+9) ?

The inverse of f(x)=(-3x+6)/(4x+9) is (6-9x)/(4x+3)

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inverse of f(x)=(-3x+6)/(4x+9)

inverse

f (x) = \frac{- 3 x + 6}{4 x + 9}

\frac{6 - 9 x}{4 x + 3}

Solution steps

y = \frac{- 3 x + 6}{4 x + 9}

Replace

x

with

y

x = \frac{- 3 y + 6}{4 y + 9}

Solve for

y, x = \frac{- 3 y + 6}{4 y + 9}

\frac{6 - 9 x}{4 x + 3}

\frac{2 x + 1}{x - 4}

f (x) = 32145

\frac{4 x - 16}{2 x - 6}

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

f (x) = e^{(x + 2)} + 3

What is the inverse of f(x)=(-3x+6)/(4x+9) ?
The inverse of f(x)=(-3x+6)/(4x+9) is (6-9x)/(4x+3)