What is the inverse of f(x)=-0.048ln(x)+0.0388 ?

The inverse of f(x)=-0.048ln(x)+0.0388 is e^{-(x-0.0388)/(0.048)}

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inverse of f(x)=-0.048ln(x)+0.0388

inverse

f (x) = - 0.048 ln (x) + 0.0388

e^{- \frac{x - 0.0388}{0.048}}

Solution steps

y = - 0.048 ln (x) + 0.0388

Replace

x

with

y

x = - 0.048 ln (y) + 0.0388

Solve for

y, x = - 0.048 ln (y) + 0.0388

e^{- \frac{x - 0.0388}{0.048}}

f (x) = - \frac{2}{3 x} + 1

y = \frac{1}{9} x - \frac{32}{9}

f (x) = \frac{( 1 + 5 x )}{9 - 4 x}

- 1 \frac{1}{7}

f (x) = 2.1784 x + 25.2

What is the inverse of f(x)=-0.048ln(x)+0.0388 ?
The inverse of f(x)=-0.048ln(x)+0.0388 is e^{-(x-0.0388)/(0.048)}