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Popular Functions >

inverse of f(x)=2^{1/x},x>0

Solution

inverse

f (x) = 2^{\frac{1}{x}}, x > 0

Solution

\frac{ln ( 2 )}{ln ( x )}

Solution steps

y = 2^{\frac{1}{x}}

Replace

x

with

y

x = 2^{\frac{1}{y}}

Solve for

y, x = 2^{\frac{1}{y}}

\frac{ln ( 2 )}{ln ( x )}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=2^{1/x},x>0 ?
The inverse of f(x)=2^{1/x},x>0 is (ln(2))/(ln(x))