What is the inverse of f(x)=\sqrt[3]{x^3+4}-2 ?

The inverse of f(x)=\sqrt[3]{x^3+4}-2 is cube root of x^3+6x^2+12x+4

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inverse of f(x)=\sqrt[3]{x^3+4}-2

inverse

Solution steps

Replace

x

with

y

Solve for

(2.5) (4.1)

f (x) = - 8 x - 16

f (x) = \frac{5 x ^{3}}{x ^{3} + 2 x ^{2} + 5 x}

ln (\frac{1}{x + 2})

f (x) = \frac{1}{2} sec (x - \frac{π}{6})

What is the inverse of f(x)=\sqrt[3]{x^3+4}-2 ?
The inverse of f(x)=\sqrt[3]{x^3+4}-2 is cube root of x^3+6x^2+12x+4