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Popular >

inverse of f(x)=e^{2x}+1

Solution

inverse

f (x) = e^{2 x} + 1

Solution

\frac{ln ( x - 1 )}{2}

Solution steps

y = e^{2 x} + 1

Replace

x

with

y

x = e^{2 y} + 1

Solve for

y, x = e^{2 y} + 1

\frac{ln ( x - 1 )}{2}

Popular Examples

domain of f(x)=(3x+7)/(6x)domain

f (x) = \frac{3 x + 7}{6 x}

inverse of f(x)=(x-2)/2 inverse

f (x) = \frac{x - 2}{2}

periodicity of f(x)=4sin(1/pi x-2)+8 periodicity

f (x) = 4 sin (\frac{1}{π} x - 2) + 8

intercepts of f(x)=2x^2+5x-3 intercepts

f (x) = 2 x^{2} + 5 x - 3

asymptotes of f(x)=(x/(x^2+4))asymptotes

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

Frequently Asked Questions (FAQ)

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