What is the inverse of f(x)=600*e^x+2022 ?

The inverse of f(x)=600*e^x+2022 is ln((x-2022)/(600))

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inverse of f(x)=600*e^x+2022

inverse

f (x) = 600 \cdot e^{x} + 2022

ln (\frac{x - 2022}{600})

Solution steps

y = 600 e^{x} + 2022

Replace

x

with

y

x = 600 e^{y} + 2022

Solve for

y, x = 600 \cdot e^{y} + 2022

ln (\frac{x - 2022}{600})

\frac{1}{5 x ^{3}}

\frac{1 - 2 s}{s ^{2} + 4 s + 5}

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

f (x) = 2 π r^{2} + 2 π r

f (x) = - \frac{2 x}{3} - 6

What is the inverse of f(x)=600*e^x+2022 ?
The inverse of f(x)=600*e^x+2022 is ln((x-2022)/(600))