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Popular >

inverse of f(x)=e^{-(x-8)}

Solution

inverse

f (x) = e^{- (x - 8)}

Solution

- ln (x) + 8

Solution steps

y = e^{- (x - 8)}

Replace

x

with

y

x = e^{- (y - 8)}

Solve for

y, x = e^{- (y - 8)}

- ln (x) + 8

Popular Examples

inflection (6x)/(x^2+4)inflection points

\frac{6 x}{x ^{2} + 4}

inverse of f(x)=(2x-3)/4 inverse

f (x) = \frac{2 x - 3}{4}

slope of y=-2x-1 slope

y = - 2 x - 1

extreme f(x)=ln(7-6x^2)extreme points

f (x) = ln (7 - 6 x^{2})

periodicity of f(x)=2sin(x-pi/4)periodicity

f (x) = 2 sin (x - \frac{π}{4})

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=e^{-(x-8)} ?
The inverse of f(x)=e^{-(x-8)} is -ln(x)+8