What is the inverse of f(x)=(2x+5)/(x^2+6x+34) ?

The inverse of f(x)=(2x+5)/(x^2+6x+34) is (-3x+1+sqrt(-25x^2-x+1))/x ,(-3x+1-sqrt(-25x^2-x+1))/x

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inverse of f(x)=(2x+5)/(x^2+6x+34)

inverse

f (x) = \frac{2 x + 5}{x ^{2} + 6 x + 34}

\frac{- 3 x + 1 + - 25 x ^{2} - x + 1}{x}, \frac{- 3 x + 1 - - 25 x ^{2} - x + 1}{x}

Solution steps

y = \frac{2 x + 5}{x ^{2} + 6 x + 34}

Replace

x

with

y

x = \frac{2 y + 5}{y ^{2} + 6 y + 34}

Solve for

y, x = \frac{2 y + 5}{y ^{2} + 6 y + 34}

\frac{- 3 x + 1 + - 25 x ^{2} - x + 1}{x}, \frac{- 3 x + 1 - - 25 x ^{2} - x + 1}{x}

What is the inverse of f(x)=(2x+5)/(x^2+6x+34) ?
The inverse of f(x)=(2x+5)/(x^2+6x+34) is (-3x+1+sqrt(-25x^2-x+1))/x ,(-3x+1-sqrt(-25x^2-x+1))/x