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Popular Functions >

inverse of f(x)=e^{(sqrt(x))/3}

Solution

inverse

f (x) = e^{\frac{x}{3}}

Solution

9 ln^{2} (x)

Solution steps

y = e^{\frac{x}{3}}

Replace

x

with

y

x = e^{\frac{y}{3}}

Solve for

y, x = e^{\frac{y}{3}}

9 ln^{2} (x)

Graph

Popular Examples

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intercepts of f(x)=x+5y=10

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domain of f(x)=-1/(2sqrt(5-x))

domain of f(x)=(x^2-9)/(x+3)

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=e^{(sqrt(x))/3} ?
The inverse of f(x)=e^{(sqrt(x))/3} is 9ln^2(x)