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

The inverse of f(x)=\sqrt[4]{x}-3 is x^4+12x^3+54x^2+108x+81

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

inverse

f (x) = 4 x - 3

x^{4} + 12 x^{3} + 54 x^{2} + 108 x + 81

Solution steps

y = 4 x - 3

Replace

x

with

y

x = 4 y - 3

Solve for

y, x = 4 y - 3

x^{4} + 12 x^{3} + 54 x^{2} + 108 x + 81

f (x) = \frac{3 x - 16}{x - 5}

f (x) = \frac{x ^{2} - 3}{2 x ^{2} - 18}

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

\frac{2}{3 + x}

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

What is the inverse of f(x)=\sqrt[4]{x}-3 ?
The inverse of f(x)=\sqrt[4]{x}-3 is x^4+12x^3+54x^2+108x+81