What is the inverse of f(x)=2e^{3x^2} ?

The inverse of f(x)=2e^{3x^2} is sqrt((ln(x/2))/3),-sqrt((ln(x/2))/3)

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

inverse

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

\frac{ln ( \frac{x}{2} )}{3}, - \frac{ln ( \frac{x}{2} )}{3}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{ln ( \frac{x}{2} )}{3}, - \frac{ln ( \frac{x}{2} )}{3}

y = lo g_{6} (3 x - 1) = 2

f (x) = \frac{13}{2} x - 4

2.71622 E 37

\frac{( 0.647 )}{( 0.97 )}

lo g_{2} (π)

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