What is the inverse of f(x)=(x+5)^4 ?

The inverse of f(x)=(x+5)^4 is \sqrt[4]{x}-5,-\sqrt[4]{x}-5

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inverse of f(x)=(x+5)^4

inverse

f (x) = (x + 5)^{4}

Solution steps

y = (x + 5)^{4}

Replace

x

with

y

x = (y + 5)^{4}

Solve for

y, x = (y + 5)^{4}

y = x - 1 + 4

f (x) = 7000 - 1000 y

f (x) = lo g_{x} (3)

f (x) = lo g_{4} (2 x) - 5

\frac{1}{s} - \frac{1}{s + 2}

What is the inverse of f(x)=(x+5)^4 ?
The inverse of f(x)=(x+5)^4 is \sqrt[4]{x}-5,-\sqrt[4]{x}-5