What is the inverse of f(x)= 1/(x^6) ?

The inverse of f(x)= 1/(x^6) is \sqrt[6]{1/x},-\sqrt[6]{1/x}

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inverse of f(x)= 1/(x^6)

inverse

f (x) = \frac{1}{x ^{6}}

6 \frac{1}{x}, - 6 \frac{1}{x}

Solution steps

y = \frac{1}{x ^{6}}

Replace

x

with

y

x = \frac{1}{y ^{6}}

Solve for

y, x = \frac{1}{y ^{6}}

6 \frac{1}{x}, - 6 \frac{1}{x}

8 x^{3} + 3 x

(4, - 1), (- 2, - 5)

x^{\frac{2}{3}} - 4

f (x) = 0

f (x) = \frac{3}{2} tan (3 x)

What is the inverse of f(x)= 1/(x^6) ?
The inverse of f(x)= 1/(x^6) is \sqrt[6]{1/x},-\sqrt[6]{1/x}