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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = 2 e^{3 x} - 3

Replace

x

with

y

x = 2 e^{3 y} - 3

Solve for

y, x = 2 e^{3 y} - 3

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

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Frequently Asked Questions (FAQ)

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