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Popular >

inverse of f(x)=e^{(sqrt(x))/4}

Solution

inverse

f (x) = e^{\frac{x}{4}}

Solution

16 ln^{2} (x)

Solution steps

y = e^{\frac{x}{4}}

Replace

x

with

y

x = e^{\frac{y}{4}}

Solve for

y, x = e^{\frac{y}{4}}

16 ln^{2} (x)

Popular Examples

line y= 1/2 x-2 line

y = \frac{1}{2} x - 2

domain of f(x)=-3+sqrt(4x-12)domain

f (x) = - 3 + 4 x - 12

domain of x/(x^2-x+1)domain

\frac{x}{x ^{2} - x + 1}

critical (x-1)^2(x-2)^3 critical points

(x - 1)^{2} (x - 2)^{3}

critical (x^4)/4-2x^2 critical points

\frac{x ^{4}}{4} - 2 x^{2}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=e^{(sqrt(x))/4} ?
The inverse of f(x)=e^{(sqrt(x))/4} is 16ln^2(x)