What is the inverse of f(x)=\sqrt[3]{x-10}+4 ?

The inverse of f(x)=\sqrt[3]{x-10}+4 is x^3-12x^2+48x-54

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inverse of f(x)=\sqrt[3]{x-10}+4

inverse

f (x) = 3 x - 10 + 4

x^{3} - 12 x^{2} + 48 x - 54

Solution steps

y = 3 x - 10 + 4

Replace

x

with

y

x = 3 y - 10 + 4

Solve for

y, x = 3 y - 10 + 4

x^{3} - 12 x^{2} + 48 x - 54

ln (x) 4.77

\frac{4 x}{3 x - 5}

\frac{8}{x + 5}

f (x) = \frac{2 x + 3}{4 x - 1}

h (x) = x

What is the inverse of f(x)=\sqrt[3]{x-10}+4 ?
The inverse of f(x)=\sqrt[3]{x-10}+4 is x^3-12x^2+48x-54