What is the inverse of f(x)=(60)/(x^2) ?

The inverse of f(x)=(60)/(x^2) is (2sqrt(15)sqrt(x))/x ,-(2sqrt(15)sqrt(x))/x

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inverse of f(x)=(60)/(x^2)

inverse

f (x) = \frac{60}{x ^{2}}

\frac{2 15 x}{x}, - \frac{2 15 x}{x}

Solution steps

y = \frac{60}{x ^{2}}

Replace

x

with

y

x = \frac{60}{y ^{2}}

Solve for

y, x = \frac{60}{y ^{2}}

\frac{2 15 x}{x}, - \frac{2 15 x}{x}

\frac{x}{x - 2}

f (x) = 4 - 2 x

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

y = 4 - x

f (x) = 2 x^{2} - 3

What is the inverse of f(x)=(60)/(x^2) ?
The inverse of f(x)=(60)/(x^2) is (2sqrt(15)sqrt(x))/x ,-(2sqrt(15)sqrt(x))/x