What is the inverse of f(x)=(x^5+5)^{1/3} ?

The inverse of f(x)=(x^5+5)^{1/3} is \sqrt[5]{x^3-5}

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inverse of f(x)=(x^5+5)^{1/3}

inverse

f (x) = (x^{5} + 5)^{\frac{1}{3}}

Solution steps

y = (x^{5} + 5)^{\frac{1}{3}}

Replace

x

with

y

x = (y^{5} + 5)^{\frac{1}{3}}

Solve for

y, x = (y^{5} + 5)^{\frac{1}{3}}

f (x) = - 2 x + 2

y = \frac{5 x}{x ^{2} + 25}

3 x + 2 y = 4

f (x) = 3 x^{e} - 2

\frac{3 + x}{x - 2}

What is the inverse of f(x)=(x^5+5)^{1/3} ?
The inverse of f(x)=(x^5+5)^{1/3} is \sqrt[5]{x^3-5}