What is the inverse of f(x)=(ln(x/(34)))/(0.003) ?

The inverse of f(x)=(ln(x/(34)))/(0.003) is e^{0.003x}*34

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inverse of f(x)=(ln(x/(34)))/(0.003)

inverse

f (x) = \frac{ln ( \frac{x}{34} )}{0.003}

e^{0.003 x} \cdot 34

Solution steps

y = \frac{ln ( \frac{x}{34} )}{0.003}

Replace

x

with

y

x = \frac{ln ( \frac{y}{34} )}{0.003}

Solve for

y, x = \frac{ln ( \frac{y}{34} )}{0.003}

e^{0.003 x} \cdot 34

f (y) = y - y^{2}

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

2 π (x)^{2} + 8 π (x)

f (x) = - 5000 x + 60000

f (x) = 5 + 3 e^{(2 x)}

What is the inverse of f(x)=(ln(x/(34)))/(0.003) ?
The inverse of f(x)=(ln(x/(34)))/(0.003) is e^{0.003x}*34