What is the inverse of f(x)= 1/2 x^5 ?

The inverse of f(x)= 1/2 x^5 is \sqrt[5]{2}\sqrt[5]{x}

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inverse of f(x)= 1/2 x^5

inverse

f (x) = \frac{1}{2} x^{5}

Solution steps

y = \frac{1}{2} x^{5}

Replace

x

with

y

x = \frac{1}{2} y^{5}

Solve for

y, x = \frac{1}{2} y^{5}

\frac{x ^{2} + 5 x + 6}{- 3 x - 6}

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

\frac{x}{1 + x ^{2}}

15 - 14 x - x^{2} d x

- x^{2} + 9

What is the inverse of f(x)= 1/2 x^5 ?
The inverse of f(x)= 1/2 x^5 is \sqrt[5]{2}\sqrt[5]{x}