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Popular Functions >

inverse of f(x)=4^{1/(x-2)}

Solution

inverse

f (x) = 4^{\frac{1}{x - 2}}

Solution

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

Solution steps

y = 4^{\frac{1}{x - 2}}

Replace

x

with

y

x = 4^{\frac{1}{y - 2}}

Solve for

y, x = 4^{\frac{1}{y - 2}}

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

Graph

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Frequently Asked Questions (FAQ)

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