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Popular >

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

Solution

inverse

f (x) = \frac{1}{2} e^{2 x}

Solution

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

Solution steps

y = \frac{1}{2} e^{2 x}

Replace

x

with

y

x = \frac{1}{2} e^{2 y}

Solve for

y, x = \frac{1}{2} e^{2 y}

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

Popular Examples

inverse of (x^3)/5 inverse

\frac{x ^{3}}{5}

inverse of f(x)= 3/2 x^2+3 inverse

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

inverse of (3x-7)/(x+3)inverse

\frac{3 x - 7}{x + 3}

inverse of y=(-9x+7)/(1+x)inverse

y = \frac{- 9 x + 7}{1 + x}

inverse of y=-1.4(x-3.2)^2+9.16 inverse

y = - 1.4 (x - 3.2)^{2} + 9.16

Frequently Asked Questions (FAQ)

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