What is the inverse of 2/3 e^{-(2x)/3} ?

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

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

inverse

\frac{2}{3} e^{- \frac{2 x}{3}}

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 6 - \frac{5}{3} x

f (x) = x^{2} + 2 x - 3, x \leq - 2

f (x) = \frac{5 - 12 x}{6 + 10 x}

f (x) = \frac{x + 9}{x - 7}

f (x) = 8 x + 8 + 9

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