What is the inverse of f(x)=(36)/(x^2) ?

The inverse of f(x)=(36)/(x^2) is (6sqrt(x))/x ,-(6sqrt(x))/x

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inverse of f(x)=(36)/(x^2)

inverse

f (x) = \frac{36}{x ^{2}}

\frac{6 x}{x}, - \frac{6 x}{x}

Solution steps

y = \frac{36}{x ^{2}}

Replace

x

with

y

x = \frac{36}{y ^{2}}

Solve for

y, x = \frac{36}{y ^{2}}

\frac{6 x}{x}, - \frac{6 x}{x}

f (t) = \frac{1}{3} cos (- t - \frac{π}{6}) + 2

- 3 y - 6 x = 6

\frac{4 x}{3 x - 10}

f (x) = \frac{x ^{2} - 9}{3 x - 9}

f (x) = - 2 (x - 1)^{3} + 5

What is the inverse of f(x)=(36)/(x^2) ?
The inverse of f(x)=(36)/(x^2) is (6sqrt(x))/x ,-(6sqrt(x))/x