What is the inverse of f(x)=(e^{x^8})/2 ?

The inverse of f(x)=(e^{x^8})/2 is \sqrt[8]{ln(x*2)},-\sqrt[8]{ln(x*2)}

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inverse of f(x)=(e^{x^8})/2

inverse

f (x) = \frac{e ^{x^{8}}}{2}

Solution steps

y = \frac{e ^{x^{8}}}{2}

Replace

x

with

y

x = \frac{e ^{y^{8}}}{2}

Solve for

y, x = \frac{e ^{y^{8}}}{2}

f (x) = \frac{( 3 x + 1 )}{( 4 x + 2 )}

\frac{x + 1}{( x + 2 ) ^{2}}

x - 1 + 3

f (x) = 1 - x^{2}

(1, 2), (10, 5)

What is the inverse of f(x)=(e^{x^8})/2 ?
The inverse of f(x)=(e^{x^8})/2 is \sqrt[8]{ln(x*2)},-\sqrt[8]{ln(x*2)}