What is the inverse of (2x)/(-9x^2+324) ?

The inverse of (2x)/(-9x^2+324) is -(1+sqrt(2916x^2+1))/(9x),-(1-sqrt(2916x^2+1))/(9x)

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inverse of (2x)/(-9x^2+324)

inverse

\frac{2 x}{- 9 x ^{2} + 324}

- \frac{1 + 2916 x ^{2} + 1}{9 x}, - \frac{1 - 2916 x ^{2} + 1}{9 x}

Solution steps

y = \frac{2 x}{- 9 x ^{2} + 324}

Replace

x

with

y

x = \frac{2 y}{- 9 y ^{2} + 324}

Solve for

y, x = \frac{2 y}{- 9 y ^{2} + 324}

- \frac{1 + 2916 x ^{2} + 1}{9 x}, - \frac{1 - 2916 x ^{2} + 1}{9 x}

f (x) = \frac{x ^{3}}{5}

3 x - 6 + 1

5 cos^{2} (θ)

3 x + 2 - 3

f (x) = (x - 3)

What is the inverse of (2x)/(-9x^2+324) ?
The inverse of (2x)/(-9x^2+324) is -(1+sqrt(2916x^2+1))/(9x),-(1-sqrt(2916x^2+1))/(9x)