What is the inverse of f(x)=\sqrt[3]{x+sqrt(1+x^2)} ?

The inverse of f(x)=\sqrt[3]{x+sqrt(1+x^2)} is -(1-x^6)/(2x^3)

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inverse of f(x)=\sqrt[3]{x+sqrt(1+x^2)}

inverse

f (x) = 3 x + 1 + x^{2}

- \frac{1 - x ^{6}}{2 x ^{3}}

Solution steps

y = 3 x + 1 + x^{2}

Replace

x

with

y

x = 3 y + 1 + y^{2}

Solve for

y, x = 3 y + 1 + y^{2}

- \frac{1 - x ^{6}}{2 x ^{3}}

f (x) = 2 + x, x \geq - 2

7 - e^{2 x}

\frac{3 x}{x ^{2} - 20 x + 12}

y = (ln (x))^{6}

f (x) = (1 - x) 5 + 3 x

What is the inverse of f(x)=\sqrt[3]{x+sqrt(1+x^2)} ?
The inverse of f(x)=\sqrt[3]{x+sqrt(1+x^2)} is -(1-x^6)/(2x^3)