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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = 3 - 2 e^{- x}

Replace

x

with

y

x = 3 - 2 e^{- y}

Solve for

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

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

Popular Examples

inverse of f(x)=9x+6 inverse

f (x) = 9 x + 6

domain of f(x)=9+4x^2 domain

f (x) = 9 + 4 x^{2}

extreme y=(x-8)^2 extreme points

y = (x - 8)^{2}

domain of f(x)=sqrt(3x+7)+1 domain

f (x) = 3 x + 7 + 1

midpoint (-6,-1),(2,3)midpoint

(- 6, - 1), (2, 3)

Frequently Asked Questions (FAQ)

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