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Popular >

inverse of f(x)=2-3e^{x-4}

Solution

inverse

f (x) = 2 - 3 e^{x - 4}

Solution

ln (- \frac{x - 2}{3}) + 4

Solution steps

y = 2 - 3 e^{x - 4}

Replace

x

with

y

x = 2 - 3 e^{y - 4}

Solve for

y, x = 2 - 3 e^{y - 4}

ln (- \frac{x - 2}{3}) + 4

Popular Examples

critical y=e^{-x^2}critical points

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

extreme f(x)=x^2+2x+6 extreme points

f (x) = x^{2} + 2 x + 6

symmetry-2(x+3)^2+1 symmetry

- 2 (x + 3)^{2} + 1

asymptotes of f(x)=2^{-x}+1 asymptotes

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

asymptotes of y=(x+8)/(x^2-9x)asymptotes

y = \frac{x + 8}{x ^{2} - 9 x}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=2-3e^{x-4} ?
The inverse of f(x)=2-3e^{x-4} is ln(-(x-2)/3)+4