What is the inverse of f(x)=(x-3)^4 ?

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

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inverse of f(x)=(x-3)^4

inverse

f (x) = (x - 3)^{4}

Solution steps

y = (x - 3)^{4}

Replace

x

with

y

x = (y - 3)^{4}

Solve for

y, x = (y - 3)^{4}

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

f (x) = \frac{x ^{5} - 3}{2}

f (x) = 5 (x^{\frac{1}{3}} - 8)

f (x) = 2 (x^{7} + 2)

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