What is the inverse of f(x)=(x+9)/(-2x-7) ?

The inverse of f(x)=(x+9)/(-2x-7) is -(9+7x)/(1+2x)

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inverse of f(x)=(x+9)/(-2x-7)

inverse

f (x) = \frac{x + 9}{- 2 x - 7}

- \frac{9 + 7 x}{1 + 2 x}

Solution steps

y = \frac{x + 9}{- 2 x - 7}

Replace

x

with

y

x = \frac{y + 9}{- 2 y - 7}

Solve for

y, x = \frac{y + 9}{- 2 y - 7}

- \frac{9 + 7 x}{1 + 2 x}

What is the inverse of f(x)=(x+9)/(-2x-7) ?
The inverse of f(x)=(x+9)/(-2x-7) is -(9+7x)/(1+2x)