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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

y = e^{- 2 x} + 3

Replace

x

with

y

x = e^{- 2 y} + 3

Solve for

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

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

Popular Examples

inverse of f(x)=sqrt(2x-7)inverse

f (x) = 2 x - 7

inverse of-1/2 sqrt(x+3)inverse

- \frac{1}{2} x + 3

symmetry ((x+2)^2)/9-((y-2)^2)/(16)=1 symmetry

\frac{( x + 2 ) ^{2}}{9} - \frac{( y - 2 ) ^{2}}{16} = 1

perpendicular 2x+3y=-18 perpendicular

2 x + 3 y = - 18

perpendicular x-5y=-6,(0,4)perpendicular

x - 5 y = - 6, (0, 4)

Frequently Asked Questions (FAQ)

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