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

The inverse of f(x)=\sqrt[3]{x-2}+4 is x^3-12x^2+48x-62

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

inverse

x^{3} - 12 x^{2} + 48 x - 62

Solution steps

Replace

x

with

y

Solve for

x^{3} - 12 x^{2} + 48 x - 62

f (x) = \frac{x ^{2} - 3 x - 70}{3 x + 21}

f (x) = 5 sin (x) - 7

f (x) = 5 x^{3} - 14

(1, 5), (- 2, 2)

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

What is the inverse of f(x)=\sqrt[3]{x-2}+4 ?
The inverse of f(x)=\sqrt[3]{x-2}+4 is x^3-12x^2+48x-62