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Popular >

inverse of f(x)=sqrt(2-e^{2x)}

Solution

inverse

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

Solution

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

Solution steps

y = 2 - e^{2 x}

Replace

x

with

y

x = 2 - e^{2 y}

Solve for

y, x = 2 - e^{2 y}

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

Popular Examples

symmetry 6x^3 symmetry

6 x^{3}

inverse of f(x)=x^2+2x inverse

f (x) = x^{2} + 2 x

domain of f(x)= x/(\sqrt[4]{36-x^2)}domain

asymptotes of 1/(x+5)asymptotes

\frac{1}{x + 5}

domain of-3/2 x-1 domain

- \frac{3}{2} x - 1

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=sqrt(2-e^{2x)} ?
The inverse of f(x)=sqrt(2-e^{2x)} is (ln(2-x^2))/2