What is the inverse of (5x+2)/(14x^2) ?

The inverse of (5x+2)/(14x^2) is (5+sqrt(25+112x))/(28x),(5-sqrt(25+112x))/(28x)

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inverse of (5x+2)/(14x^2)

inverse

\frac{5 x + 2}{14 x ^{2}}

\frac{5 + 25 + 112 x}{28 x}, \frac{5 - 25 + 112 x}{28 x}

Solution steps

y = \frac{5 x + 2}{14 x ^{2}}

Replace

x

with

y

x = \frac{5 y + 2}{14 y ^{2}}

Solve for

y, x = \frac{5 y + 2}{14 y ^{2}}

\frac{5 + 25 + 112 x}{28 x}, \frac{5 - 25 + 112 x}{28 x}

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

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

f (x) = 3 (x + 2)^{2} + 1

f (x) = x^{2} + 8 x + 16

2250 (0.015 - 0.001 x)^{2} + 6000 x

What is the inverse of (5x+2)/(14x^2) ?
The inverse of (5x+2)/(14x^2) is (5+sqrt(25+112x))/(28x),(5-sqrt(25+112x))/(28x)