What is the inverse of \sqrt[3]{x^4} ?

The inverse of \sqrt[3]{x^4} is \sqrt[4]{x^3},-\sqrt[4]{x^3}

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inverse of \sqrt[3]{x^4}

inverse

3 x^{4}

4 x^{3}, - 4 x^{3}

Solution steps

y = 3 x^{4}

Replace

x

with

y

x = 3 y^{4}

Solve for

y, x = 3 y^{4}

4 x^{3}, - 4 x^{3}

f (x) = 3 (x + 5) 2 - 4

f (x) = - \frac{1}{5} x + 1

f (2) = - 9 x^{- 4}

f (x) = - \frac{2}{3} x - 24

f (x) = 0.025 \cdot x

What is the inverse of \sqrt[3]{x^4} ?
The inverse of \sqrt[3]{x^4} is \sqrt[4]{x^3},-\sqrt[4]{x^3}