What is the inverse of f(x)=(-3x+4)/(-2x+9) ?

The inverse of f(x)=(-3x+4)/(-2x+9) is (4-9x)/(-2x+3)

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inverse of f(x)=(-3x+4)/(-2x+9)

inverse

f (x) = \frac{- 3 x + 4}{- 2 x + 9}

\frac{4 - 9 x}{- 2 x + 3}

Solution steps

y = \frac{- 3 x + 4}{- 2 x + 9}

Replace

x

with

y

x = \frac{- 3 y + 4}{- 2 y + 9}

Solve for

y, x = \frac{- 3 y + 4}{- 2 y + 9}

\frac{4 - 9 x}{- 2 x + 3}

f (x) = \frac{x - 10}{3}

f (x) = 9 x + 2

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

ln (1 + x^{2})

f (x) = \frac{1}{e ^{x} + 1}

What is the inverse of f(x)=(-3x+4)/(-2x+9) ?
The inverse of f(x)=(-3x+4)/(-2x+9) is (4-9x)/(-2x+3)