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Popular >

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

Solution

inverse

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

Solution

- ln (x - 2)

Solution steps

y = 2 + e^{- x}

Replace

x

with

y

x = 2 + e^{- y}

Solve for

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

- ln (x - 2)

Popular Examples

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

inverse of f(x)=(-5x-2)/7 inverse

f (x) = \frac{- 5 x - 2}{7}

inverse of f(x)=x^2-17,x>= 0 inverse

f (x) = x^{2} - 17, x \geq 0

inverse of f(x)=(5x^3)/2 inverse

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

inverse of f(x)=(200x)/(400-x)inverse

f (x) = \frac{200 x}{400 - x}

Frequently Asked Questions (FAQ)

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