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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))