What is the inverse of f(x)=(x+2)^4 ?

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

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inverse of f(x)=(x+2)^4

inverse

f (x) = (x + 2)^{4}

Solution steps

y = (x + 2)^{4}

Replace

x

with

y

x = (y + 2)^{4}

Solve for

y, x = (y + 2)^{4}

\frac{x}{x ^{2} - 1}

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

f (x) = \frac{1}{x ^{2} - x}

y = - 2 x + 1

(- 6.6) - \frac{1}{4}

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