What is the inverse of f(x)=(2x+9)/(-3x-5) ?

The inverse of f(x)=(2x+9)/(-3x-5) is -(9+5x)/(2+3x)

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inverse of f(x)=(2x+9)/(-3x-5)

inverse

f (x) = \frac{2 x + 9}{- 3 x - 5}

- \frac{9 + 5 x}{2 + 3 x}

Solution steps

y = \frac{2 x + 9}{- 3 x - 5}

Replace

x

with

y

x = \frac{2 y + 9}{- 3 y - 5}

Solve for

y, x = \frac{2 y + 9}{- 3 y - 5}

- \frac{9 + 5 x}{2 + 3 x}

f (x) = - 10 x

f (x) = \frac{12 x - 1}{7}

\frac{8 x}{x + 7}

f (x) = \frac{1}{5} x + 8

\frac{x}{4 x - 3}

What is the inverse of f(x)=(2x+9)/(-3x-5) ?
The inverse of f(x)=(2x+9)/(-3x-5) is -(9+5x)/(2+3x)