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Popular Functions >

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

Solution

inverse

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

Solution

\frac{ln ^{2} ( x )}{ln ^{2} ( 3 )} + 3

Solution steps

y = 3^{x - 3}

Replace

x

with

y

x = 3^{y - 3}

Solve for

y, x = 3^{y - 3}

\frac{ln ^{2} ( x )}{ln ^{2} ( 3 )} + 3

Graph

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Frequently Asked Questions (FAQ)

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