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Popular >

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

Solution

inverse

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

Solution

2 ln (x)

Solution steps

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

Replace

x

with

y

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

Solve for

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

2 ln (x)

Popular Examples

inverse of f(x)=2(x-5)^2-3 inverse

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

inverse of f(x)=6sqrt(15-x-3)inverse

f (x) = 6 15 - x - 3

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

\frac{2 x}{x - 2}

inverse of f(x)=(x-2)/(2x-3)inverse

f (x) = \frac{x - 2}{2 x - 3}

inverse of f(x)=3+sqrt(4+7x)inverse

f (x) = 3 + 4 + 7 x

Frequently Asked Questions (FAQ)

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