What is the inverse of f(x)=-2ln(-x+2)+5 ?

The inverse of f(x)=-2ln(-x+2)+5 is -e^{-(x-5)/2}+2

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inverse of f(x)=-2ln(-x+2)+5

inverse

f (x) = - 2 ln (- x + 2) + 5

- e^{- \frac{x - 5}{2}} + 2

Solution steps

y = - 2 ln (- x + 2) + 5

Replace

x

with

y

x = - 2 ln (- y + 2) + 5

Solve for

y, x = - 2 ln (- y + 2) + 5

- e^{- \frac{x - 5}{2}} + 2

f (x) = \frac{x - 3}{x ^{2} - 5 x}

y = a x + 1

(7, 1), (- 16, - 16)

f (x) = \frac{( 2 x + 1 )}{x ^{2} + x - 2}

f (x) = \frac{x ^{3}}{3} - 4 x

What is the inverse of f(x)=-2ln(-x+2)+5 ?
The inverse of f(x)=-2ln(-x+2)+5 is -e^{-(x-5)/2}+2