What is the inverse of f(x)=sqrt(1-\sqrt{x)} ?

The inverse of f(x)=sqrt(1-\sqrt{x)} is 1-2x^2+x^4

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inverse of f(x)=sqrt(1-\sqrt{x)}

inverse

f (x) = 1 - x

1 - 2 x^{2} + x^{4}

Solution steps

y = 1 - x

Replace

x

with

y

x = 1 - y

Solve for

y, x = 1 - y

1 - 2 x^{2} + x^{4}

f (x) = 0.73

f (x) = 82 x - 2700

f (x) = 17 - 4 x

f (x) = 4.2435 x + 169.43

What is the inverse of f(x)=sqrt(1-\sqrt{x)} ?
The inverse of f(x)=sqrt(1-\sqrt{x)} is 1-2x^2+x^4