What is the inverse of f(x)=110e^{0.5x} ?

The inverse of f(x)=110e^{0.5x} is (ln(x/(110)))/(0.5)

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inverse of f(x)=110e^{0.5x}

inverse

f (x) = 110 e^{0.5 x}

\frac{ln ( \frac{x}{110} )}{0.5}

Solution steps

y = 110 e^{0.5 x}

Replace

x

with

y

x = 110 e^{0.5 y}

Solve for

y, x = 110 e^{0.5 y}

\frac{ln ( \frac{x}{110} )}{0.5}

- 3 x + y = - 2

x^{4} - 8 x^{3}

f (x) = - x - 1 - 2

f (x) = x^{4} - 32 x^{2} + 1

(x + 4)^{3} - 2

What is the inverse of f(x)=110e^{0.5x} ?
The inverse of f(x)=110e^{0.5x} is (ln(x/(110)))/(0.5)