What is the inverse of f(x)=-301.6ln(x)+2003.3 ?

The inverse of f(x)=-301.6ln(x)+2003.3 is e^{-(10x-20033)/(3016)}

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inverse of f(x)=-301.6ln(x)+2003.3

inverse

f (x) = - 301.6 ln (x) + 2003.3

e^{- \frac{10 x - 20033}{3016}}

Solution steps

y = - 301.6 ln (x) + 2003.3

Replace

x

with

y

x = - 301.6 ln (y) + 2003.3

Solve for

y, x = - 301.6 ln (y) + 2003.3

e^{- \frac{10 x - 20033}{3016}}

8 x^{3} - 2

f (x) = (x - 9)^{2} + 1

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

x^{2} + 4 x + 3

f (5) = ln (3 x - 5) - ln (x + 9) + 5

What is the inverse of f(x)=-301.6ln(x)+2003.3 ?
The inverse of f(x)=-301.6ln(x)+2003.3 is e^{-(10x-20033)/(3016)}