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Popular >

inverse of f(x)=3^{x/2}-3

Solution

inverse

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

Solution

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

Solution steps

y = 3^{\frac{x}{2}} - 3

Replace

x

with

y

x = 3^{\frac{y}{2}} - 3

Solve for

y, x = 3^{\frac{y}{2}} - 3

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

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Frequently Asked Questions (FAQ)

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