What is the inverse of f(x)=17\sqrt[3]{x} ?

The inverse of f(x)=17\sqrt[3]{x} is (x^3)/(4913)

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inverse of f(x)=17\sqrt[3]{x}

inverse

f (x) = 17 3 x

\frac{x ^{3}}{4913}

Solution steps

y = 17 3 x

Replace

x

with

y

x = 17 3 y

Solve for

y, x = 17 3 y

\frac{x ^{3}}{4913}

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

f (x) = \frac{8 - x ^{3}}{5}

f (x) = \frac{2 x + 1}{- 4 x + 5}

f (x) = x - \frac{x ^{2}}{12} - 2

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

What is the inverse of f(x)=17\sqrt[3]{x} ?
The inverse of f(x)=17\sqrt[3]{x} is (x^3)/(4913)