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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = 2 - e^{2 x - 1}

Replace

x

with

y

x = 2 - e^{2 y - 1}

Solve for

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

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

Popular Examples

slope ofintercept 6/5 x+3 slope intercept

\frac{6}{5} x + 3

domain of 27a^6 domain

27 a^{6}

critical f(x)=sin(4x)critical points

f (x) = sin (4 x)

asymptotes of f(x)=(sqrt(3x^2+4))/(5x+3)asymptotes

f (x) = \frac{3 x ^{2} + 4}{5 x + 3}

inverse of f(x)=4x-7 inverse

f (x) = 4 x - 7

Frequently Asked Questions (FAQ)

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