What is the inverse of f(x)= 1/(sqrt(1+x^4)) ?

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

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inverse of f(x)= 1/(sqrt(1+x^4))

inverse

f (x) = \frac{1}{1 + x ^{4}}

Solution steps

y = \frac{1}{1 + x ^{4}}

Replace

x

with

y

x = \frac{1}{1 + y ^{4}}

Solve for

y, x = \frac{1}{1 + y ^{4}}

f (x) = 3.5 (2.2)^{x}

f (x) = (6 x^{3} + 7)^{\frac{1}{5}}

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

f (x) = x - 5 + 6

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