What is the inverse of f(x)=-x^6,x>= 0 ?

The inverse of f(x)=-x^6,x>= 0 is \sqrt[6]{-x},-\sqrt[6]{-x}

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inverse of f(x)=-x^6,x>= 0

inverse

f (x) = - x^{6}, x \geq 0

Solution steps

y = - x^{6}

Replace

x

with

y

x = - y^{6}

Solve for

y, x = - y^{6}

f (x) = 4 x + 2

f (x) = x + 2 - 3

f (x) = \frac{x ^{2} + 4 x - 32}{x ^{2} - 16}

f (x) = \frac{1}{( x + 3 ) ^{2}}

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

What is the inverse of f(x)=-x^6,x>= 0 ?
The inverse of f(x)=-x^6,x>= 0 is \sqrt[6]{-x},-\sqrt[6]{-x}