What is the inverse of f(t)=28.4e^{0.01t} ?

The inverse of f(t)=28.4e^{0.01t} is (ln(\frac{5t)/(142))}{0.01}

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inverse of f(t)=28.4e^{0.01t}

inverse

f (t) = 28.4 e^{0.01 t}

\frac{ln ( \frac{5 t}{142} )}{0.01}

Solution steps

y = 28.4 e^{0.01 t}

Replace

t

with

y

t = 28.4 e^{0.01 y}

Solve for

y, t = 28.4 e^{0.01 y}

\frac{ln ( \frac{5 t}{142} )}{0.01}

\frac{5}{x + 8}

f (x) = 14 + 4 x - 4

\frac{3 - 2 x}{3 x - 2}

f (x) = \frac{6}{x} - 5

x^{2} - 4 x - 3

What is the inverse of f(t)=28.4e^{0.01t} ?
The inverse of f(t)=28.4e^{0.01t} is (ln(\frac{5t)/(142))}{0.01}