What is the inverse of f(x)=10e^{0.1x} ?

The inverse of f(x)=10e^{0.1x} is (ln(x/(10)))/(0.1)

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inverse of f(x)=10e^{0.1x}

inverse

f (x) = 10 e^{0.1 x}

\frac{ln ( \frac{x}{10} )}{0.1}

Solution steps

y = 10 e^{0.1 x}

Replace

x

with

y

x = 10 e^{0.1 y}

Solve for

y, x = 10 e^{0.1 y}

\frac{ln ( \frac{x}{10} )}{0.1}

y = 3 x + 77

f (x) = 2 (x - 1)^{2} + 6

f (x) = ∣ x ∣ + 3

x^{2} - 2 x - 2

x^{3} + 8

What is the inverse of f(x)=10e^{0.1x} ?
The inverse of f(x)=10e^{0.1x} is (ln(x/(10)))/(0.1)