What is the inverse of f(x)=\sqrt[4]{x}+6 ?

The inverse of f(x)=\sqrt[4]{x}+6 is x^4-24x^3+216x^2-864x+1296

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inverse of f(x)=\sqrt[4]{x}+6

inverse

x^{4} - 24 x^{3} + 216 x^{2} - 864 x + 1296

Solution steps

Replace

x

with

y

Solve for

x^{4} - 24 x^{3} + 216 x^{2} - 864 x + 1296

\frac{7 + x}{3 - x}

\frac{2}{3} (x - 2)^{3} + 6

sec^{2} (x)

x + 4 y = - 8

g (x) = 2 (x - 1)

What is the inverse of f(x)=\sqrt[4]{x}+6 ?
The inverse of f(x)=\sqrt[4]{x}+6 is x^4-24x^3+216x^2-864x+1296