What is the inverse of f(x)=-1-4ln(2-x/2) ?

The inverse of f(x)=-1-4ln(2-x/2) is -2e^{-(x+1)/4}+4

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inverse of f(x)=-1-4ln(2-x/2)

inverse

f (x) = - 1 - 4 ln (2 - \frac{x}{2})

- 2 e^{- \frac{x + 1}{4}} + 4

Solution steps

y = - 1 - 4 ln (2 - \frac{x}{2})

Replace

x

with

y

x = - 1 - 4 ln (2 - \frac{y}{2})

Solve for

y, x = - 1 - 4 ln (2 - \frac{y}{2})

- 2 e^{- \frac{x + 1}{4}} + 4

What is the inverse of f(x)=-1-4ln(2-x/2) ?
The inverse of f(x)=-1-4ln(2-x/2) is -2e^{-(x+1)/4}+4