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

The inverse of f(x)=\sqrt[3]{x+3}-2 is x^3+6x^2+12x+5

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

inverse

f (x) = 3 x + 3 - 2

x^{3} + 6 x^{2} + 12 x + 5

Solution steps

y = 3 x + 3 - 2

Replace

x

with

y

x = 3 y + 3 - 2

Solve for

y, x = 3 y + 3 - 2

x^{3} + 6 x^{2} + 12 x + 5

- 16 (x + 7)^{2} - 3

- \frac{1}{4} (x + 3)^{2} - 5

f (x) = \frac{ln ( 1 + ∣ x + 3 ∣ )}{ln ( x )}

(- 4, 2), (6, 4)

y = \frac{8}{x ^{2} - 6 x + 8}

What is the inverse of f(x)=\sqrt[3]{x+3}-2 ?
The inverse of f(x)=\sqrt[3]{x+3}-2 is x^3+6x^2+12x+5