What is the inverse of (sqrt(2x))/(5x-6) ?

The inverse of (sqrt(2x))/(5x-6) is (30x^2+1+sqrt(60x^2+1))/(25x^2),(30x^2+1-sqrt(60x^2+1))/(25x^2)

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inverse of (sqrt(2x))/(5x-6)

inverse

\frac{2 x}{5 x - 6}

\frac{30 x ^{2} + 1 + 60 x ^{2} + 1}{25 x ^{2}}, \frac{30 x ^{2} + 1 - 60 x ^{2} + 1}{25 x ^{2}}

Solution steps

y = \frac{2 x}{5 x - 6}

Replace

x

with

y

x = \frac{2 y}{5 y - 6}

Solve for

y, x = \frac{2 y}{5 y - 6}

\frac{30 x ^{2} + 1 + 60 x ^{2} + 1}{25 x ^{2}}, \frac{30 x ^{2} + 1 - 60 x ^{2} + 1}{25 x ^{2}}

f (x) = \frac{2 x - 3}{6 x - 1}

f (x) = \frac{4 x + 5}{3 x - 8}

f (x) = 4 cos (\frac{x}{3})

f (x) = - 4 lo g_{10} (- \frac{1}{3} (x + 2)) + 1

f (x) = 3 lo g_{6} (x)

What is the inverse of (sqrt(2x))/(5x-6) ?
The inverse of (sqrt(2x))/(5x-6) is (30x^2+1+sqrt(60x^2+1))/(25x^2),(30x^2+1-sqrt(60x^2+1))/(25x^2)