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Popular Functions >

inverse of f(x)=sqrt(2^x-1)

Solution

inverse

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

Solution

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

Solution steps

y = 2^{x} - 1

Replace

x

with

y

x = 2^{y} - 1

Solve for

y, x = 2^{y} - 1

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

Graph

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Frequently Asked Questions (FAQ)

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