What is the inverse of f(x)=4x^4,x>= 0 ?

The inverse of f(x)=4x^4,x>= 0 is \sqrt[4]{x/4},-\sqrt[4]{x/4}

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inverse of f(x)=4x^4,x>= 0

inverse

f (x) = 4 x^{4}, x \geq 0

4 \frac{x}{4}, - 4 \frac{x}{4}

Solution steps

y = 4 x^{4}

Replace

x

with

y

x = 4 y^{4}

Solve for

y, x = 4 y^{4}

4 \frac{x}{4}, - 4 \frac{x}{4}

\frac{2}{x ^{2} - 4}

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f (x) = 5 x = 1

f (x) = cos (7 x)

f (x) = 10 ln (50 x - 1000)

What is the inverse of f(x)=4x^4,x>= 0 ?
The inverse of f(x)=4x^4,x>= 0 is \sqrt[4]{x/4},-\sqrt[4]{x/4}